Differential Geometry and Geometric Structures
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Hans Havlicek: Publications

El arroyo de la sierra me complace más que el mar.
(José Martí)

 

Lineare Algebra für Technische Mathematik (2022)

Books and Book Editorships

  1. H. Havlicek: Lineare Algebra für Technische Mathematiker, Berliner Studienreihe zur Mathematik, Band 16, Heldermann, Lemgo 2006. xii + 405 pp.
    ISBN-10: 3-88538-116-8, ISBN-13: 978-3-88538-116-7
    zbMATH 1121.15001 | MR 2007g:15001
  2. H. Havlicek: Lineare Algebra für Technische Mathematiker, Berliner Studienreihe zur Mathematik, Band 16, 2nd corrected and enlarged edition, Heldermann, Lemgo 2008. xi + 422 pp.
    ISBN-10: 3-88538-116-8, ISBN-13: 978-3-88538-116-7
  3. H. Havlicek, F. Manhart, and B. Odehnal (eds): Proceedings - 33. Süddeutsches Kolloquium über Differentialgeometrie, Institut für Diskrete Mathematik und Geometrie, TU Wien, Wien, 2008, iii + 89 pp.
    ISBN: 978-3-902233-04-2
    zbMATH 1151.53002 | MR 2010a:53002 | Proceedings (links to full text)
  4. H. Havlicek: Lineare Algebra für Technische Mathematiker, Berliner Studienreihe zur Mathematik, Band 16, 3rd corrected and enlarged edition, Heldermann, Lemgo 2012. xi + 424 pp.
    ISBN: 978-3-88538-116-7
  5. H. Havlicek: Lineare Algebra für Technische Mathematik, Berliner Studienreihe zur Mathematik, Band 16, 4th corrected and enlarged edition, Heldermann, Lemgo 2022. ix + 426 pp.
    ISBN: 978-3-88538-116-7

Articles

  1. H. Havlicek: Zur Theorie linearer Abbildungen I, J. Geom. 16 (1981), 152-167.
    DOI: 10.1007/BF01917584
    Preprint (PDF) | Article (external link) | zbMATH 463.51003 | MR 83k:14045
  2. H. Havlicek: Zur Theorie linearer Abbildungen II, J. Geom. 16 (1981), 168-180.
    DOI: 10.1007/BF01917585}
    Preprint (PDF) | Article (external link) | zbMATH 463.51004 | MR 83k:14045
  3. H. Havlicek: Einbettung projektiver Desargues-Räume, Abh. Math. Sem. Univ. Hamburg 52 (1982), 228-231.
    DOI: 10.1007/BF02941879
    Preprint (PDF) | Article (external link) | zbMATH 493.51004 (504.51003) | MR 85e:51009
  4. H. Havlicek: Normisomorphismen und Normkurven endlichdimensionaler projektiver Desargues-Räume, Herrn emer.O.Univ.Prof. Dr. Josef Krames zum 85. Geburtstag gewidmet, Monatsh. Math. 95 (1983), 203-218.
    DOI: 10.1007/BF01351998
    Preprint (PDF) | Article (external link) | zbMATH 506.51002 | MR 85g:51004
  5. H. Havlicek: Eine affine Beschreibung von Ketten, Abh. Math. Sem. Univ. Hamburg 53 (1983), 266-275.
    DOI: 10.1007/BF02941324
    Preprint (PDF) | Article (external link) | zbMATH 527.51010 | MR 86i:51006
  6. H. Havlicek: Die linearen Geradenabbildungen aus dreidimensionalen projektiven Pappos-Raumen, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 192 (1983), 99-111.
    Preprint (PDF) | zbMATH 527.51027 | MR 85f:51004
  7. H. Havlicek: Die automorphen Kollineationen nicht entarteter Normkurven, Geom. Dedicata 16 (1984), 85-91.
    DOI: 10.1007/BF00147424
    Preprint (PDF) | Article (external link) | zbMATH 547.51001 | MR 86a:51004
  8. H. Havlicek: Erzeugnisse projektiver Bündelisomorphismen, Ber. Math.-Statist. Sekt. Forschungszentrum Graz, Nr. 215 (1984).
    Preprint (PDF) | zbMATH 547.51002 | MR 87i:51007
  9. H. Havlicek: Erzeugung quadratischer Varietaten bei beliebiger Charakteristik, W. Wunderlich zum 75. Geburtstag gewidmet, Geom. Dedicata 18 (1985), 41-57.
    DOI: 10.1007/BF00221204
    Preprint (PDF) | Article (external link) | zbMATH 561.51017 | MR 86j:51011
  10. H. Havlicek: Applications of results on generalized polynomial identities in desarguesian projective spaces, In: R. Kaya, P. Plaumann, K. Strambach (eds.): Rings and Geometry, Dordrecht, D. Reidel, 1985, pp. 39-77.
    DOI: 10.1007/978-94-009-5460-1_2
    Preprint (PDF) | Chapter (external link) | zbMATH 603.51005 | MR 87i:51010
  11. H. Havlicek: Über die Abbildungsgleichungen einer Normalprojektion, Inf. Bl. Darst. Geom. (Univ. Innsbruck), Jg. 5, Heft 2 (1986), 33-36.
    DOI: 10.25598/ibdg/1986-2-12
    Preprint (PDF) | Article (external link)
  12. H. Havlicek: Lineare Geradenkomplexe über Schiefkörpern, Fritz Hohenberg zum 80. Geburtstag gewidmet, Arch. Math. (Basel) 51 (1988), 181-187.
    DOI: 10.1007/BF01206478
    Preprint (PDF) | Article (external link) | zbMATH 651.51017 | MR 89h:51038
  13. H. Havlicek: Liniengeometrische Modelle affiner 4-Räume, In: N.K. Stephanidis (ed.): Proceedings of the Congress of Geometry - Thessaloniki 1987, 47-53.
    Preprint (PDF) | zbMATH 645.51004 | MR 89f:51013
  14. H. Havlicek: Durch Kollineationsgruppen bestimmte projektive Räume, Heinrich Brauner zum 60. Geburtstag gewidmet, Beitr. Algebra Geom. 27 (1988), 175-184.
    Preprint (PDF) | zbMATH 677.51002 | MR 90b:51004
  15. H. Havlicek: On sets of lines corresponding to affine spaces, In: A. Barlotti et al. (eds.): Combinatorics ´88, Proceedings of the International Conference on Incidence Geometries and Combinatorial Structures (Ravello, May 1988), vol.1, Res. Lecture Notes Math., Mediterranean Press, 1991, pp. 449-457.
    Preprint (PDF) | zbMATH 0945.51505 | MR 94c:51010
  16. H. Havlicek: Degenerate conics revisited, Dedicated to Armin Herzer on his 60th birthday, J. Geom. 38 (1990), 42-51.
    DOI: 10.1007/BF01222894
    Preprint (PDF) | Article (external link) | zbMATH 706.51005 | MR 91m:51003
  17. H. Havlicek: Hyperoskulierende Kegelschnitte in Pappos-Ebenen der Charakteristik zwei, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 198 (1989), 141-146.
    Preprint (PDF) | zbMATH 682.51004 | MR 90j:51003
  18. H. Havlicek: Von der Darstellenden Geometrie zu Kartenentwürfen am Personal Computer, Inf. Bl. Darst. Geom. (Univ. Innsbruck), Jg. 8, Heft 2 (1989), 5-10.
    DOI: 10.25598/ibdg/1989-2-3
    Preprint (PDF) | Article (external link)
  19. H. Havlicek: Dual spreads generated by collineations, Dedicated to Walter Wunderlich on his 80th birthday, Simon Stevin 64 (1990), 339-349.
    Preprint (PDF) | zbMATH 729.51005 | MR 92i:51005
  20. H. Havlicek: Die Projektivitäten und Antiprojektivitäten der Quaternionengeraden, Publ. Math. Debrecen 40 (1992), 219-227.
    DOI: 10.5486/pmd.1992.40.3-4.05
    Preprint (PDF) | Article (external link) | zbMATH 773.51001 | MR 93h:51004
  21. H. Havlicek: On the geometry of field extensions, Aequationes Math. 45 (1993), 232-238.
    DOI: 10.1007/BF01855881
    Preprint (PDF) | Article (external link) | zbMATH 787.51006 | MR 94a:51005
  22. H. Havlicek: Invariant points of circular transformations, Rad Hrvatske Akad. Znan. Umjet. No. 470, Mat. Znan. 12 (1995), 113-118.
    Preprint (PDF) | Article (external link) | zbMATH 1296.51003 | MR 98c:51005
  23. H. Havlicek: Baer subspaces within Segre manifolds, Results Math. 23 (1993), 322-329.
    DOI: 10.1007/BF03322304
    Preprint (PDF) | Article (external link) | zbMATH 782.51001 | MR 94j:51004
  24. H. Havlicek: Spreads of right quadratic skew field extensions, Geom. Dedicata 49 (1994), 239-251.
    DOI: 10.1007/BF01610624
    Preprint (PDF) | Article (external link) | zbMATH 796.51005 | MR 95d:51004
  25. H. Havlicek: Spheres of quadratic field extensions, Abh. Math. Sem. Univ. Hamburg 64 (1994), 279-292.
    DOI: 10.1007/BF02940789
    Preprint (PDF) | Article (external link) | zbMATH 816.51006 | MR 95g:51004
  26. H. Havlicek: A Generalization of Brauner's theorem on linear mappings, Mitt. Math. Sem. Gießen 215 (1994), 27-41.
    Preprint (PDF) | zbMATH 803.51004 | MR 95e:51003
  27. H. Havlicek: Der Entwurf von Winkel oder "Wieviel Geometrie steckt in einer Schulwandkarte", Inf. Bl. Darst. Geom. (Univ. Innsbruck) Jg. 13, Heft 1 (1994), 8-14.
    DOI: 10.25598/ibdg/1994-1-4
    Preprint (PDF) | Article (external link)
  28. H. Havlicek: On Plücker transformations of generalized elliptic spaces, Rend. Mat. Appl. (7) 15 (1995), 39-56.
    Preprint (PDF) | Article (open access, incorrect bibliographical data, external link) | zbMATH 828.51005 | MR 96f:51006
  29. H. Havlicek: On isomorphisms of Grassmann spaces, Mitt. Math. Ges. Hamburg 14 (1995), 117-120.
    Preprint (PDF) | zbMATH 877.51001 | MR 96g:51004 
  30. H. Havlicek: Affine circle geometry over quaternion skew fields, Discrete Math. 174 (1997), 153-165.
    DOI: 10.1016/S0012-365X(96)00328-7
    Preprint (PDF) | Article (external link) | zbMATH 902.51001 | MR 98h:51006
  31. H. Havlicek: Symplectic Plücker transformations, Dedicated to Hans Vogler on the occasion of his 60th birthday, Math. Pannon. 6 (1995), 145-153.
    Preprint (PDF) | Article (external link, open access) | zbMATH 829.51002 | MR 96c:51006
  32. H. Havlicek: On the matrices of central linear mappings, Math. Bohem. 121 (1996), 151-156.
    Preprint (PDF) | Article (external link, open access) | zbMATH 863.51020 | MR 97g:51020
  33. H. Havlicek and C. Zanella: Quadratic embeddings, Beitr. Algebra Geom. 38 (1997), 289-298.
    Preprint (PDF) | Article (external link, open access) | zbMATH 888.51003 | MR 98e:51002
  34. H. Havlicek: A characteristic property of elliptic Plücker transformations, Dedicated to Walter Benz on the occasion of his 65th birthday, J. Geom. 58 (1997), 106-116.
    DOI: 10.1007/BF01222931
    Preprint (PDF) | Article (external link) | zbMATH 881.51019 | MR 97m:51013
  35. H. Havlicek and K. Svozil: Density conditions for quantum propositions, J. Math. Phys. 37 (11) (1996), 5337-5341.
    DOI: 10.1063/1.531738
    Preprint (PDF) | Article (external link) | zbMATH 861.03046 | MR 97k:81020
  36. H. Havlicek: Isomorphisms of affine Plücker spaces, In: N.K. Artémiadis, N.K. Stephanidis (eds.): Proceedings of the 4th International Conference of Geometry Thessaloniki 1996, Aristoteles University of Thessaloniki 1997, pp. 171-178.
    Preprint (PDF) | zbMATH 896.51001 | MR 98d:51003
  37. H. Havlicek: Chow's theorem for linear spaces, Discrete Math. 208/209 (1999), 319-324.
    DOI: 10.1016/S0012-365X(99)00080-1
    Preprint (PDF) | Article (external link) | zbMATH 943.51015 | MR 2000i:51045
  38. H. Havlicek: Weak linear mappings — a survey, In: O. Röschel, H. Vogler (eds.):  107 Jahre Drehfluchtprinzip, (Proceedings of the Conference on Geometry, Vorau, Austria, June 1-7, 1997), Technical University of Graz 1999, pp. 76-85.
    Preprint (PDF) | zbMATH 947.51002 | MR 1752658
  39. H. Havlicek: The Veronese surface in PG(5,3) and Witt's 5-(12,6,1)-design, J. Comb. Theory Ser. A 84 (1998), 87-94.
    DOI: 10.1006/jcta.1998.2880
    Preprint (PDF) | Article (external link) | zbMATH 917.51005 | MR 99m:51009
  40. H. Havlicek: Giuseppe Veronese and Ernst Witt - neighbours in PG(5,3), Dedicated to János Aczél on the occasion of his 75th birthday, Aequationes Math. 58 (1999), 85-92.
    DOI: 10.1007/s000100050009
    Preprint (PDF) | Article (external link) | zbMATH 936.51006 | MR 2000k:51009
  41. J. Gmainer and H. Havlicek: Nuclei of normal rational curves, J. Geom. 69 (2000), 117 - 130.
    DOI: 10.1007/BF01237480
    Preprint (PDF) | Article (external link) | zbMATH 976.51003 | MR 2001j:51013
  42. H. Havlicek: A model of the Witt design W12 based on quadrics of PG(2,3), In memory of Heinrich Brauner (1928-1990) on the occasion of his 70th birthday, Discrete Math. 255 (2002), 189-192.
    DOI: 10.1016/S0012-365X(01)00398-3
    Preprint (PDF) | Article (external link) | zbMATH 1014.51002 | MR 2003j:51003
  43. J. Gmainer and H. Havlicek: A dimension formula for the nucleus of a Veronese variety, Linear Algebra Appl. 305 (2000), 191-201.
    DOI: 10.1016/S0024-3795(99)00235-9
    Preprint (PDF) | Article (external link) | zbMATH 979.51010 | MR 2001d:14060
  44. A. Blunck and H. Havlicek: Extending the concept of chain geometry, Dedicated to H. Reiner Salzmann on the occasion of his 70th birthday, Geom. Dedicata 83 (2000), 119-130.
    DOI: 10.1023/A:1005260729790
    Preprint (PDF) | Article (external link) | zbMATH 966.51003 | MR 2001k:51007
  45. A. Blunck and H. Havlicek: Affine spaces within projective spaces, Results Math. 36 (1999), 237-251.
    DOI: 10.1007/BF03322113
    Preprint (PDF) | Article (external link) | zbMATH 942.51001 | MR 2001b:51003
  46. A. Bichara, H. Havlicek and C. Zanella: On linear morphisms of product spaces, Discrete Math. 267 (2003), 35-43.
    DOI: 10.1016/S0012-365X(02)00601-5
    Preprint (PDF) | Article (external link) | zbMATH 1023.51002 | MR 2004k:51004a
  47. H. Havlicek, G. Krenn, J. Summhammer, and K. Svozil: Colouring the rational quantum sphere and the Kochen-Specker theorem, Journal of Physics A: Mathematical and General 34 (2001), 3071-3077.
    DOI: 10.1088/0305-4470/34/14/312
    Preprint (PDF) | Article (external link) | MR 2002d:81017
  48. H. Havlicek and H. Lenz: Another simple proof for the existence of the small witt design, Elem. Math. 56 (2001), 89-94.
    DOI: 10.1007/PL00000546
    Preprint (PDF) | Article (external link) | zbMATH 0988.05019 | MR 2002i:05020 
  49. A. Blunck and H. Havlicek: Projective representations I: Projective lines over a ring, Dedicated to Armin Herzer on the occasion of his 70th birthday, Abh. Math. Sem. Univ. Hamburg 70 (2000), 287-299.
    DOI: 10.1007/BF02940921
    Preprint (PDF) | Article (external link) | zbMATH 0992.51001 | MR 2001m:51005
  50. H. Havlicek and C. Zanella: On embedded products of Grassmannians, Discrete Math. 267 (2003), 153-158.
    DOI: 10.1016/S0012-365X(02)00611-8
    Preprint (PDF) | Article (external link) | zbMATH 1023.51010 | MR 2004k:51004b.
  51. A. Blunck and H. Havlicek: Projective representations II: Generalized chain geometries, Dedicated to Walter Benz on the occasion of his 70th birthday, Abh. Math. Sem. Univ. Hamburg 70 (2000), 301-313.
    DOI: 10.1007/BF02940922
    Preprint (PDF) | Article (external link) | zbMATH 0992.51002 | MR 2001m:51006
  52. A. Blunck and H. Havlicek: The connected components of the projective line over a ring, Adv. Geom. 1 (2001), 107-117.
    DOI: 10.1515/advg.2001.008
    Preprint (PDF) | Article (external link) | zbMATH 0992.51003 | MR 2002d:51006
  53. H. Havlicek: Veronese varieties over fields with non-zero characteristic - a survey, Discrete Math., 267 (2003), 159-173.
    DOI: 10.1016/S0012-365X(02)00611-8
    Preprint (PDF) | Article (external link) | zbMATH 1030.51017 | MR 2004j:51017
  54. H. Havlicek, K. List, and C. Zanella: On automorphisms of flag spaces, Linear Multilinear Algebra 50 (2002), 241-251.
    DOI: 10.1080/03081080290025444
    Preprint (PDF) | Article (external link) | zbMATH 1011.51001 | MR 2003d:51017
  55. A. Blunck and H. Havlicek: The dual of a chain geometry, J. Geom. 72 (2001), 27-36.
    DOI: 10.1007/s00022-001-8567-z
    Preprint (PDF) | Article (external link) | zbMATH 1004.51004 | MR 2002k:51003.
  56. A. Blunck and H. Havlicek: Jordan homomorphisms and harmonic mappings, Monatsh. Math. 139 (2003), 111-127.
    DOI: 10.1007/s00605-002-0509-9
    Preprint (PDF) | Article (external link) | zbMATH 1028.51004 | MR 2004i:51003
  57. H. Havlicek and G. Weiß: Altitudes of a tetrahedron and traceless quadratic forms, Amer. Math. Monthly 110 (2003), 679-693.
    DOI: 10.2307/3647851
    Preprint (PDF) | Article (external link) | zbMATH 1048.51009 | MR 2004h:51020
  58. A. Blunck and H. Havlicek: On bijections that preserve complementarity of subspaces, Discrete Math. 301 (2005), 46-56.
    DOI: 10.1016/j.disc.2004.11.018
    Preprint (PDF) | Article (external link) | zbMATH 1083.51001 | MR 2006e:05052
  59. H. Havlicek and G. Weiß: Ecken- und Kantenhöhen im Tetraeder, KoG 6 (2002), 71-80.
    Preprint (PDF) | Article (external link, open access) | zbMATH 1086.51506 | MR 1954450
  60. A. Blunck and H. Havlicek: Radical parallelism on projective lines and non-linear models of affine spaces, Math. Pannon. 14 (2003), 113-127.
    Preprint (PDF) | Article (external link, open access) | zbMATH 1027.03009 | MR 2003m:51026
  61. S. Giese, H. Havlicek and R.-H. Schulz: Some constructions of divisible designs from Laguerre geometries, Discrete Math. 301 (2005), 74-82.
    DOI: 10.1016/j.disc.2004.11.021
    Preprint (PDF) | Article (external link) | zbMATH 1072.05009 | MR 2006e:05019
  62. H. Havlicek and K. List: A three-dimensional Laguerre geometry and its visualization, In: G. Weiß (ed.): Proceedings - Dresden Symposium Geometry: Constructive and Kinematic" (DSG.CK), Institut für Geometrie, TU Dresden, Dresden, 2003, pp. 122-129.
    ISBN-10: 3-86005-394-9
    Preprint (PDF) | zbMATH 1073.51003 | MR 2057084
  63. H. Havlicek and V. Pambuccian: On the axiomatics of projective and affine geometry in terms of line intersection, Results Math. 45 (2004), 35-44.
    DOI: 10.1007/BF03322995
    Preprint (PDF) | Article (external link) | zbMATH 1064.51001 | MR 2005e:51002
  64. H. Havlicek: Cayley's surface revisited, Dedicated to Gunter Weiß on the occasion of his 60th birthday, in friendship, J. Geom. 82 (2005), 71-82.
    DOI: 10.1007/s00022-005-1769-z
    Preprint (PDF) | Article (external link) | zbMATH 1089.53013 | MR 2006c:53009
  65. A. Blunck and H. Havlicek: On distant-isomorphisms of projective lines, Aequationes Math. 69 (2005), 146-163.
    DOI: 10.1007/s00010-004-2745-7
    Preprint (PDF) | Article (external link) | zbMATH 1073.51004 | MR 2006d:51002
  66. H. Havlicek and M. Pankov: Transformations on the product of Grassmann spaces, Demonstratio Math. 38 (2005), 675-688.
    DOI: 10.1515/dema-2005-0316
    Preprint (PDF) | Article (external link, open access) | zbMATH 1089.51004 | MR 2006d:51018
  67. J. Gmainer and H. Havlicek: Isometries and collineations of the Cayley surface, Innov. Incidence Geom. 2 (2005), 109-127.
    DOI: 10.2140/iig.2005.2.109
    Preprint (PDF) | Article (external link, open access) | zbMATH 1096.51007 | MR 2007c:51020
  68. H. Havlicek and R. Riesinger: The Betten-Walker spread and Cayley's ruled cubic surface, Unserem lieben Freund Dieter Betten zum 65. Geburtstag gewidmet, Beitr. Algebra Geom. 47 (2006), 527-541.
    Preprint (PDF) | Article (external link, open access) | zbMATH 1126.51003 | MR 2008a:51002
  69. H. Havlicek and P. Šemrl: From geometry to invertibility preservers, Studia Math. 174 (2006), 99-109.
    DOI: 10.4064/sm174-1-8
    Preprint (PDF) | Article (external link) | zbMATH 1107.47023 | MR 2007g:47055
  70. H. Havlicek: Higher order contact on Cayley's ruled cubic surface, In: G. Weiß (ed.): Proceedings - 30. Süddeutsches Kolloquium über Differentialgeometrie, Institut für Geometrie, TU Dresden, Dresden, 2005, pp. 27-34.
    ISBN-10: 3-86005-484-8
    Preprint (PDF)
  71. A. Blunck, H. Havlicek, and C. Zanella: Lifting of divisible designs, Dedicated to Walter Benz on the occasion of his 75th birthday, Des. Codes Cryptogr., 42 (2007), 1-14.
    DOI: 10.1007/s10623-006-9002-0
    Preprint (PDF) | Article (external link) | zbMATH 1126.05028 | MR 2008g:51011
  72. A. Blunck, H. Havlicek, and C. Zanella: Divisible designs from twisted dual numbers, Dedicated to Helmut Mäurer on the occasion of his 70th birthday, Des. Codes Cryptogr. 47 (2008), 11-20.
    DOI: 10.1007/s10623-007-9043-z
    Preprint (PDF) | Article (external link) | MR 2009b:51006
  73. A. Blunck, H. Havlicek, and C. Zanella: Blocking sets in chain geometries, In: F. Mazzocca, N. Melone and D. Olanda (eds.): Trends in Incidence and Galois Geometries. A Tribute to Giuseppe Tallini, Quad. Mat. 19, Aracne Editrice, Roma, 2010, pp. 39-49.
    ISBN: 978-88-548-3571-9
    Preprint (PDF) | zbMATH 1250.51007 | MR 2895264
  74. H. Havlicek: From pentacyclic coordinates to chain geometries, and back, Mitt. Math. Ges. Hamburg 26 (2007), 75-94.
    Preprint (PDF) | zbMATH 1170.51002 | MR 2009a:51001
  75. M. Saniga, M. Planat, P. Pracna, and H. Havlicek: The Veldkamp-space of two-qubits, SIGMA Symmetry Integrability Geom. Methods Appl. 3 (2007), paper 075, 7 pp. (electronic).
    DOI: 10.3842/SIGMA.2007.075
    Preprint (PDF) | Article (external link) | zbMATH 1138.51003 | MR 2008c:51002
  76. H. Havlicek and M. Saniga: Projective ring line of a specific qudit, J. Phys. A 40 (2007), F943-F952.
    DOI: 10.1088/1751-8113/40/43/F03
    Preprint (PDF) | Article (external link) | zbMATH 1124.81006 | MR 2009f:81037
  77. H. Havlicek and M. Saniga: Projective ring line of an arbitrary single qudit, J. Phys. A, 41 (2008), Article ID 015302, 12 pp.
    DOI: 10.1088/1751-8113/41/1/015302
    Preprint (PDF) | Article (external link) | zbMATH 1132.81007 | MR 2009h:81063
  78. H. Havlicek and C. Zanella: Incidence and combinatorial properties of linear complexes, Dedicated to Helmut Karzel on the occasion of his 80th birthday, Results Math. 51 (2008), 261-274.
    DOI: 10.1007/s00025-007-0275-z
    Preprint (PDF) | Article (external link) | zbMATH 1143.51003 | MR 2009e:51002
  79. W.-l. Huang and H. Havlicek: Diameter preserving surjections in the geometry of matrices, Linear Algebra Appl. 429 (2008), 376-386.
    DOI: 10.1016/j.laa.2008.02.037
    Preprint (PDF) | Article (external link) | zbMATH 1144.05045 | MR 2009d:51007
  80. M. Saniga, H. Havlicek, M. Planat, and P. Pracna: "Twin Fano-Snowflakes" over the smallest ring of ternions, SIGMA Symmetry Integrability Geom. Methods Appl. 4 (2008), paper 050, 7 pp. (electronic).
    DOI: 10.3842/SIGMA.2008.050
    Preprint (PDF) | Article (external link, open access) | zbMATH 1140.51300 | MR 2009g:51006
  81. H. Havlicek and M. Saniga: Vectors, cyclic submodules, and projective spaces linked with ternions, J. Geom. 92 (2009), 79-90.
    DOI: 10.1007/s00022-008-2090-4
    Preprint (PDF) | Article (external link) | zbMATH 1171.51002 | MR 2010a:51007
  82. H. Havlicek: Erinnerungen an Heinrich Brauner, in: H. Havlicek, F. Manhart, and B. Odehnal (eds): Proceedings - 33. Süddeutsches Kolloquium über Differentialgeometrie, Institut für Diskrete Mathematik und Geometrie, TU Wien, Wien, 2008, pp. 14-34.
    ISBN: 978-3-902233-04-2
    Preprint (PDF) | zbMATH 1155.01328 | MR 2508733
  83. H. Havlicek: Zum 80. Geburtstag von Heinrich Brauner (1928–1990), Intern. Mathematische Nachrichten 210 (2009), 33-40.
    Preprint, unabridged (PDF) | Preprint, abridged final version (PDF) | zbMATH 1171.01318
  84. H. Havlicek, B. Odehnal, and M. Saniga: Factor-group-generated polar spaces and (multi-)qudits, SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), paper 096, 15 pp. (electronic).
    DOI: 10.3842/SIGMA.2009.096
    Preprint (PDF) | Article (external link, open access) | zbMATH 1193.51004 | MR 2010k:51006
  85. H. Havlicek, B. Odehnal, and M. Saniga: Möbius pairs of simplices and commuting Pauli operators, Math. Pannonica 21 (2010), 115-128.
    Preprint (PDF) | Article (external link, open access) | zbMATH 1224.51004 | MR 2011f:51004
  86. A. Blunck and H. Havlicek: Projective lines over Jordan systems and geometry of Hermitian matrices, Dedicated to Mario Marchi on the occasion of his 70th birthday, Linear Algebra Appl. 433 (2010), 672-680.
    DOI: 10.1016/j.laa.2010.03.037
    Preprint (PDF) | Article (external link) | zbMATH 1230.51005 | MR 2011d:51003
  87. H. Havlicek, B. Odehnal, and M. Saniga: On invariant notions of Segre varieties in binary projective spaces, Des. Codes Cryptogr. 62 (2012), 343-356.
    DOI: 10.1007/s10623-011-9525-x
    Preprint (PDF) | Article (external link) | zbMATH 1193.51004 | MR 2886284
  88. H. Havlicek, A. Matraś, and M. Pankov: Geometry of free cyclic submodules over ternions, Dedicated to Walter Benz on the occasion of his 80th birthday, Abh. Math. Sem. Univ. Hamburg 81 (2011), 237-249.
    DOI: 10.1007/s12188-011-0060-5
    Preprint (PDF) | Article (external link) | zbMATH 1267.51005 | MR 2012i:51007
  89. R. Shaw, N. Gordon, and H. Havlicek: Aspects of the Segre variety S1,1,1(2), Des. Codes Cryptogr. 62 (2012), 235-239.
    DOI: 10.1007/s10623-011-9508-y
    Preprint (PDF) | Article (external link) | zbMATH 1237.51013 | MR 2012m:51007
  90. A. Blunck and H. Havlicek: Geometric structures on finite- and infinite-dimensional Grassmannians, Beitr. Algebra Geom., 54 (2013), 533-547.
    DOI: 10.1007/s13366-012-0096-4
    Preprint (PDF) | Article (external link) | zbMATH 1283.51003 | MR 3095739
  91. H. Havlicek: Mathematik und Landkarten, in: Chr. Reder (ed.), Kartographisches Denken, Edition Transfer, Springer, Wien New York 2012, 128-132.
    ISBN: 978-3-7091-0994-6
    Preprint (PDF)
  92. H. Havlicek, J. Kosiorek, and B. Odehnal: A point model for the free cyclic submodules over ternions, Results Math. 63 (2013), 1071-1078.
    DOI 10.1007/s00025-012-0253-y
    Preprint (PDF) | Article (external link, open access) | zbMATH 1273.51004 | MR 3057355
  93. R. Shaw, N. Gordon, and H. Havlicek: Tetrads of lines spanning PG(7,2), Simon Stevin 20 (2013), 735-752.
    DOI: 10.36045/bbms/1382448192
    Preprint (PDF) | Article (external link, open access) | zbMATH 1281.51007 | MR 3129071
  94. B. Hischenhuber, H. Havlicek, J. Todoric, S. Höllrigl-Binder, W. Schreiner, B. Knapp: Differential geometric analysis of alterations in MH α-helices, J. Comput. Chem. 34 (2013), 1862-1879.
    DOI: 10.1002/jcc.23328
    Article (external link, open access)

    Corrigendum, ibid. 34 (2013), 2834.
    DOI: 10.1002/jcc.23453
    Article (external link, open access)

  95. H. Havlicek: Von Staudt's theorem revisited, Aequationes Math. 89 (2015), 459-472.
    DOI: 10.1007/s00010-013-0218-6
    Preprint (PDF) | Article (external link) | zbMATH 1328.51002 | MR 3352830
  96. H. Havlicek: A note on Clifford parallelisms in characteristic two, Publ. Math. Debrecen 86/1-2 (2015), 119-134.
    DOI: 10.5486/PMD.2015.7034
    Preprint (PDF) | Article (external link) | zbMATH 1349.51002 | MR 3300581
  97. M. Saniga, H. Havlicek, F. Holweck, M. Planat, and P. Pracna: Veldkamp-space aspects of a sequence of nested binary Segre varieties, Ann. Inst. Henri Poincaré D 2 (2015), 459-472.
    DOI: 10.4171/AIHPD/20
    Preprint (PDF) | Article (external link) | zbMATH 1326.51004 | MR 3416838
  98. H. Havlicek: Clifford parallelisms and external planes to the Klein quadric, Dedicated to the memory of Günter Pickert, J. Geom. 107 (2016), 287-303.
    DOI: 10.1007/s00022-015-0303-1
    Preprint (PDF) | Article (external link) | zbMATH 1368.51001 | MR 3519950
  99. H. Havlicek and C. Zanella: Linear sets in the projective line over the endomorphism ring of a finite field, J. Algebr. Comb. 46 (2017), 297-312.
    DOI: 10.1007/s10801-017-0753-7
    Preprint (PDF) | Article (external link) | zbMATH 1378.51009 | MR 3680617
  100. H. Havlicek and R. Riesinger: Pencilled regular parallelisms, In memoriam Walter Benz, Acta Math. Hungar. 153 (2017), 249-264.
    DOI: 10.1007/s10474-017-0742-2
    Preprint (PDF) | Article (external link)  | zbMATH 1399.51001 | MR 3713574
  101. H. Havlicek and A. Kreuzer: Obituary: Walter Benz (1931–2017), J. Geom. 108 (2017), 1-3.
    DOI: 10.1007/s00022-017-0376-0
    Preprint (PDF) | Article (external link) | zbMATH 1362.01018 | MR 3631866
  102. H. Havlicek and K. Svozil: Dimensional lifting through the generalized Gram-Schmidt process, Entropy 20 (2018), Art. 284.
    DOI: 10.3390/e20040284
    Preprint (PDF) | Article (external link, open access)
  103. H. Havlicek, S. Pasotti and S. Pianta: Clifford-like parallelisms, Dedicated to Helmut Karzel on the occasion of his 90th birthday, J. Geom. 110 (2019), Art. 2.
    DOI: 10.1007/s00022-018-0456-9
    Preprint (PDF) | Article (external link, open access) | zbMATH 1409.51002 | MR 3878672
  104. H. Havlicek, S. Pasotti and S. Pianta: Automorphisms of a Clifford-like parallelism, Adv. Geom. 21 (2021), 63-73.
    DOI: 10.1515/advgeom-2020-0027
    Preprint (PDF) | Article (external link) | zbMATH 1461.51001 | MR 4203285
  105. H. Havlicek: El trabajo de Germán Ancochea sobre proyectividades, preservadores armónicos y semi-homomorphismos, in: J. Á. Cid, B. Macía (eds.), Germán Ancochea Quevedo - Tributo a un pionero de la investigacíon matemática española, Real Sociedad Matemática Española, Madrid, 2021, 139-166. (Traduccíon al castellano: José Ángel Cid)
    ISBN: 978-84-923818-3-8
    English version: Germán Ancochea's work on projectivities, harmonicity preservers and semi-homomorphisms.
    Preprint (English version, PDF) | zbMATH 7858114
  106. H. Havlicek, S. Pasotti and S. Pianta: Characterising Clifford parallelisms among Clifford-like parallelisms, Dedicated to Mario Marchi on the occasion of his 80th birthday, in friendship, Beiträge Algebra Geom. 62 (2021), 37-54.
    DOI: 10.1007/s13366-020-00509-4
    Preprint (PDF) | Article (external link, open access) | zbMATH 1464.51004 | MR 4249852
  107. H. Havlicek: Projective metric geometry and Clifford algebras, Dedicated to the memory of Heinrich Wefelscheid, Results Math. 76 (2021), Art. 219.
    DOI: 10.1007/s00025-021-01516-0
    Preprint (corrected, PDF) | Article (external link, open access) | zbMATH 1478.51003 | MR 4328472
    Corrigendum (PDF)
  108. H. Havlicek and A. Kreuzer: Fifty years of the Journal of Geometry, J. Geom. 112 (2021), Art. 49.
    DOI: 10.1007/s00022-021-00614-2
    Preprint (PDF) | Article (external link, open access) | zbMATH 1474.00035 | MR 4338697
  109. H. Havlicek and K. Svozil: Completing bases in four dimensions. J. Phys. A, 55 (2022), Art. 105304.
    DOI: 10.1088/1751-8121/ac4919
    Preprint (PDF) | Article (external link, open access) | zbMATH 1505.81027 | MR 4410703
  110. H. Havlicek, A. Kreuzer, H.-J. Kroll and K. Sörensen: Helmut Karzel (1928–2021), J. Geom. 113 (2022), Art. 44.
    DOI: 10.1007/s00022-022-00651-5
    Preprint (PDF) | Article (external link, open access) | zbMATH 1495.01036 | MR 4484920
  111. H. Havlicek: Affine metric geometry and weak orthogonal groups, Mitt. Math. Ges. Hamburg 43 (2023), 47-70.
    Preprint (PDF) | zbMATH 7820796 | MR 4691350

Abstracts and Extended Abstracts

  1. H. Havlicek: Dual spreads generated by collineations, In: N.K. Stephanidis (ed.), Proceedings of the 3rd congress on geometry, Thessaloniki (Greece) 1991, Thessaloniki, Aristoteles University, 1992, p. 194.
    Preprint (PDF) 
  2. H. Havlicek: Giuseppe Veronese and Ernst Witt - neighbours in PG(5,3), Eighth International Conference on Geometry, Nahsholim (Israel) 1999, J. Geom. 65 (1999), p. 9.
    DOI: 10.1007/BF01228675
    Preprint (PDF) | Full text (external link)
  3. A. Blunck and H. Havlicek: Recent results in chain geometry, 5th International Conference on Geometry and Applications, Varna (Bulgaria) 2001, J. Geom. 73 (2002), 6-7.
    DOI: 10.1007/s00022-002-8582-8
    Preprint (PDF) | Full text (external link)
  4. A. Blunck and H. Havlicek: A parallelism based on the Jacobson radical of a ring, 6th International Conference on Geometry and Applications, Varna (Bulgaria) 2003, J. Geom. 78 (2003), p. 15.
    DOI: 10.1007/s00022-003-1114-3
    Preprint (PDF) | Full text (external link)
  5. J. Gmainer and H. Havlicek: A distance space on Cayley's ruled surface, 7th International Conference on Geometry and Applications, Varna (Bulgaria) 2005, J. Geom. 84 (2006), p. 191.
    DOI: 10.1007/s00022-006-0084-7
    Preprint (PDF) | Full text (external link)
  6. A. Blunck and H. Havlicek: Geometries on σ-Hermitian matrices, J. Math. Sci. (N. Y.) 186 (2012), 715-719.
    DOI: 10.1007/s10958-012-1021-y
    Preprint (PDF) | Full text (external link)
    also in: A. Lashkhi (ed.), Proceedings of the international conference "Modern algebra and its applications": September 20-26, 2010, Batumi, Georgia, Tbilisi, Georgian National Science Foundation, Georgian Technical University, A. Razmadze Mathematical Institute, Batumi Shota Rustaveli State University, 2010, 27-31.
    ISBN: 978-9941-0-2846-5 (electronic)
  7. H. Havlicek, B. Odehnal, and M. Saniga: On Möbius Pairs of Simplices, 10th International Conference on Geometry and Applications, Varna (Bulgaria) 2011, J. Geom. 103 (2012), p. 354.
    DOI: 10.1007/s00022-012-0130-6
    Preprint (PDF) | Full text (external link)
  8. H. Havlicek: Projective Ring Lines and Their Generalisations, Combinatorics 2012, Perugia (Italy), Electron. Notes Discrete Math. 40 (2013), 151-155 (electronic).
    DOI: 10.1016/j.endm.2013.05.028
    Preprint (PDF) | Full text (external link) | MR 3155275
  9. H. Havlicek, B. Odehnal, and M. Saniga: A note on Segre varieties in characteristic two, 11th International Conference on Geometry and Applications, Varna (Bulgaria) 2013, J. Geom. 105 (2014), p. 191.
    DOI: 10.1007/s00022-013-0190-2
    Preprint (PDF) | Full text (external link)

Miscellaneous Publications

  1. H. Havlicek und M. Saniga: Kooperationsgruppe ›Endliche projektive Ringgeometrien‹, Interview by M. Lenzen, ZiF-Mitteilungen (Center for Interdisciplinary Research, Bielefeld University), 1/2010, 31-33. ISSN: 1611-9614.
    Full text (PDF)
  2. H. Havlicek and A. Kreuzer: A letter from the editors, J. Geom. 104 (2013), 399.
    DOI: 10.1007/s00022-013-0183-1
    Full text (external link, open access)
  3. H. Havlicek: Georg Glaeser, Hellmuth Stachel, Boris Odehnal: The Universe of Conics – From Ancient Greeks to 21st Century Developments, Buchbesprechung, Math. Semesterber. 64 (2017), 223-225.
    DOI: 10.1007/s00591-017-0186-3
    Preprint (PDF) | Full text (external link)
  4. H. Havlicek and A. Kreuzer: Martin Barner (1921–2020), J. Geom. 112 (2021), Art. 24.
    DOI: 10.1007/s00022-021-00581-8
    Preprint (PDF) | Full text (external link) | zbMATH 1466.01014 | MR 4274643

 

Lineare Algebra 1 (1995)
Lineare Algebra 2 (1996)
Divisible Designs (2004)

Lecture Notes

  1. H. Havlicek: Lineare Algebra und Analytische Geometrie I, TU Wien, 1990, 144 pp., (out of print).
  2. H. Havlicek: Lineare Algebra und Analytische Geometrie II, TU Wien, 1991, 148 pp., (out of print).
  3. H. Havlicek: Lineare Algebra und Analytische Geometrie I, revised 2nd edition, TU Wien, 1995, 210 pp., (out of print).
  4. H. Havlicek: Lineare Algebra und Analytische Geometrie II, revised 2nd edition, TU Wien, 1996, 210 pp., (out of print).
  5. H. Havlicek: Lineare Algebra I, TU Wien, 2002, 180 pp., (out of print)
  6. H. Havlicek: Lineare Algebra II, TU Wien, 2003, 181 pp., (out of print)
  7. H. Havlicek, S. Pasotti: A Survey on the Notion of Regulus in a Skew Space, Quaderni del Seminario Matematico di Brescia 17 (2003), 32 pp. (electronic).
    Preprint (PDF) | Full text (external link)
  8. H. Havlicek: Divisible Designs, Laguerre Geometry, and Beyond, Summer School on Combinatorial Geometry and Optimisation 2004 "Giuseppe Tallini", Brescia, Italy, July 4th-10th, 2004. Quaderni del Seminario Matematico di Brescia 11 (2006), iv + 63 pp. (electronic).
    Preprint (PDF) | Full text (external link)
  9. H. Havlicek: Formelsammlung Kartenentwürfe, mit zahlreichen Illustrationen (Formulas for Map Projections, in German, with many illustrations), TU Wien, 2006, 20 pp.
    Full text (PDF 2.2 MB)
  10. H. Havlicek: Divisible Designs, Laguerre Geometry, and Beyond (revised and updated version), J. Math. Sci. (N. Y.) 186 (2012), 882-926.
    DOI: 10.1007/s10958-012-1042-6
    Preprint (PDF) | Full text (external link)
  11. H. Havlicek: Visualisierung, (Visualisation, in German), TU Wien, 2012, vi + 97 pp.
    Full text (PDF 2.1 MB)
  12. H. Havlicek: Visualisierung, (Visualisation, in German), TU Wien, revised edition 2015, vi + 99 pp.
    Full text (PDF 5.3 MB)

Theses

  1. Pseudoprimzahlen, Hausarbeit (thesis in mathematics), TU Wien, 1977, v + 48 pp.
  2. Konstruktion spezieller projektiver Ebenen, Hausarbeit (thesis in descriptive geometry), TU Wien, 1977, vi + 80 pp.
  3. Lineare Abbildungen aus Graßmann-Räumen, Dissertation, TU Wien, 1980, vi + 100 pp.
    Full text (PDF 4.9 MB) | zbMATH 475.51010

My Co-Authors

  1. Alessandro Bichara (July 20th, 1947- April 14th, 2006), Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma "La Sapienza", Italy.
  2. Andrea Blunck, Institut für Geometrie, Technische Universität Wien, Austria.
    Department Mathematik, Universität Hamburg, Germany.
  3. Sabine Giese, Mathematisches Institut, Freie Universität Berlin, Germany.
  4. Johannes Gmainer, Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Austria.
  5. Neil Gordon, Department of Computer Science, University of Hull, United Kingdom.
  6. Fréderic Holweck, Laboratoire IRTES/M3M, Université de Technologie de Belfort-Montbéliard, France.
  7. Birgit Hischenhuber, Zentrum für Medizinische Statistik, Informatik und Intelligente Systeme, Medizinische Universität Wien, Austria.
  8. Sonja Höllrigl-Binder, Zentrum für Medizinische Statistik, Informatik und Intelligente Systeme, Medizinische Universität Wien, Austria.
    Institut für Analysis und Scientific Computing, Technische Universität Wien, Austria.
  9. Wen-ling Huang, Department Mathematik, Universität Hamburg, Germany.
  10. Bernhard Knapp, Zentrum für Medizinische Statistik, Informatik und Intelligente Systeme, Medizinische Universität Wien, Austria.
    Department of Statistics, University of Oxford, United Kingdom.
  11. Jarosław Kosiorek, Wydział Matematyki i Informatyki, Uniwersytet Warmińsko-Mazurski, Olsztyn, Poland.
  12. Günter Krenn, Atominstitut der österreichischen Universitäten, Wien, Austria.
  13. Alexander Kreuzer, Department Mathematik, Universität Hamburg, Germany.
  14. Hans-Joachim Kroll, Fakultät für Mathematik, Technische Universität München, Germany.
  15. Hanfried Lenz (April 22nd, 1916 - June 1st, 2013), Mathematisches Institut, Freie Universität Berlin, Germany.
  16. Klaus List, Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Austria.
  17. Andrzej Matraś, Wydział Matematyki i Informatyki, Uniwersytet Warmińsko-Mazurski, Olsztyn, Poland.
  18. Boris Odehnal, Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Austria.
  19. Victor Pambuccian, Department of Integrative Studies, Arizona State University, Phoenix, AZ, U.S.A.
  20. Mark Pankov, Department of Mathematics, National Academy of Sciences of the Ukraine, Kiev, Ukraine.
    Wydział Matematyki i Informatyki, Uniwersytet Warmińsko-Mazurski, Olsztyn, Poland.
  21. Stefano Pasotti, Dipartimento di Matematica, Università Cattolica del Sacro Cuore, Brescia, Italy.
    Dipartimento di Ingegneria Civile, Architettura, Territorio, Ambiente e di Matematica - Sezione Matematica, Università degli Studi di Brescia, Brescia, Italy.
  22. Silvia Pianta, Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Brescia, Italy.
  23. Michel Planat, Institut Franche-Comté Electronique Mecanique Thermique et Optique - Sciences et Technologies, Centre National de la Recherche Scientifique, Départment LPMO, Besançon, France.
  24. Petr Pracna, Ústav Fyzikální Chemie J. Heyrovského, Akademie věd České Republiky, Praha, Czech Republic.
  25. Rolf Riesinger (November 1st, 1945 - September 20th, 2018), Wien, Austria.
  26. Metod Saniga, Astronomický ústav, Slovenskej académie vied, Tatranská Lomnica, Slovakia.
  27. Wolfgang Schreiner, Zentrum für Medizinische Statistik, Informatik und Intelligente Systeme, Medizinische Universität Wien, Austria.
  28. Ralph-Hardo Schulz, Mathematisches Institut, Freie Universität Berlin, Germany.
  29. Peter Šemrl, Oddelek za Matematiko, Univerza v Ljubljani, Slovenia.
  30. Ron Shaw, Centre for Mathematics, University of Hull, United Kingdom.
  31. Kay Sörensen, Fakultät für Mathematik, Technische Universität München, Germany.
  32. Johann Summhammer, Atominstitut der österreichischen Universitäten, Wien, Austria.
  33. Karl Svozil, Institut für Theoretische Physik, Technische Universität Wien, Austria.
  34. Jelena Todoric, Departments of Pharmacology and Pathology, University of California, San Diego, U.S.A.
    Klinische Abteilung für medizinisch-chemische Labordiagnostik, Medizinische Universität Wien, Austria.
  35. Gunter Weiß, Institut für Geometrie, Technische Universität Dresden, Germany.
  36. Corrado Zanella, Dipartimento di Tecnica e Gestione dei Sistemi Industriali, Università di Padova, Vicenza, Italy.

Quick Links

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H. Havlicek: Curriculum Vitae
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H. Havlicek: Visualisation
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External Links

Berliner Studienreihe zur Mathematik, Band 16, Heldermann Verlag
H. Havlicek: Preprints on arXiv (Cornell University)
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Last modified on November 10th, 2024.