Photo of Wolf  Barth

Prof. Dr. Wolf Barth

Department Mathematik
Emmy-Noether-Zentrum
FAU Erlangen-Nürnberg
Cauerstr. 11
91054 Erlangen

Room: 01.315

Email: barth@mi.uni-erlangen.de
Phone: +49 9131 85-67013
Fax: +49 9131 85-67020

Publications

  1. Fortsetzung meromorpher Funktionen in Tori und komplex-projektiven Räumen. Inventiones math. 5, 42-62 (1968).
  2. Verallgemeinerung des Bertinischen Theorems in Abelschen Mannigfaltigkeiten. Annali Scuola Normale Superiore Pisa, Vol. XXIII, Fasc. II, 317-330 (1969).
  3. Über fastuniforme Untergruppen komplexer Liegruppen und auflöosbare komplexe Mannigfaltigkeiten. Commentarii Math. Helvetici 44, 269-281 (1969). (Co-Autor: M. Otte)
  4. Über die analytische Cohomologiegruppe H n-1 (Pn/A,F). Inventiones math. 9, 135-144 (1970).
  5. Der Abstand von einer algebraischen Mannigfaltigkeit im komplex-projektiven Raum. Math. Annalen 187, 150-162 (1970).
  6. Transplanting cohomology classes in complex-projective space. American Journal of Math. 92, No. 4, 951-967 (1970).
  7. Lokale Cohomologie bei isolierten Singularitäten analytischer Mengen. Schriftenreihe Math. Inst. Univ. Münster, 2. Serie, Heft 5 (1971).
  8. On the homotopy groups of projective algebraic manifolds. Math. Scand. 30, 88-94 (1972). (Co-Autor M.E. Larsen)
  9. Invariante holomorphe Funktionen auf reduktiven komplexen Liegruppen. Math. Annalen 201, 97-112 (1973). (Co-Autor: M. Otte)
  10. Über die Albaneseabbildung einer fasthomogenen Kählermannigfaltigkeit. Math. Annalen 211, 47-62 (1974). (Co-Autor: E. Oeljeklaus)
  11. A decomposability criterion for algebraic 2-bundles on projective spaces. Inventiones math. 25, 91-106 (1974). (Co-Autor: A. Van de Ven)
  12. On the geometry in codimension 2 of grassmann manifolds. In: Classification of Algebraic Varieties and Compact Complex Manifolds, 1-35, Springer Lecture Notes in Math. 412 (1974). (Co-Autor: A. Van de Ven)
  13. Submanifolds of low codimension in projective space. Proceedings International Congress of Math., Vancouver, 409-413 (1974).
  14. Larsen's theorem on the homotopy groups of projective manifolds of small embedding codimension. Proceedings of Symposia in Pure Math. Vol. 29, 307-313 (1975).
  15. Some properties of stable rank-2 vector bundles on Pn. Math. Annalen 226, 125-150 (1977).
  16. Moduli of vector bundles on the projective plane. Inventiones math. 42, 63-91 (1977).
  17. Fano-Varieties of lines on hypersurfaces. Archiv. Math., Vol. 31, Fasc. 1, 96-104 (1978). (Co-Autor: A. Van de Ven)
  18. Monads and moduli of vector bundles. Manuscr. math. 25, 323-347 (1978). (Co-Autor: K. Hulek)
  19. Concernant la cohomologie des fibres algébraiques stables sur Pn(C). In: Variétés Analytiques Compactes, Nice (1977), 1-24, Springer Lecture Notes in Math. 683 (1978). (Co-Autor: G. Elencwajg)
  20. Counting singularities of quadratic forms on vector bundles. In: Vector Bundles and Differential Equations, Nice (1979), Progress in Mathematics 7, 1-19, Birkhäuser (1980).
  21. Stable vector bundles on P3, some experimental data. Astérisque 71-72, 205-218 (1980).
  22. Kummer surfaces associated with the Horrocks Mumford bundle. In: Journées de géométrie algébraique d'Angers (1979), 29-48, Sijthoff & Noordhoff, (1980).
  23. Algebraische Vektorbündel. Jber. d. dt. Math. Verein. 83, 106-118 (1981).
  24. Irreducibility of the space of mathematical instanton bundles with rank 2 and c2 = 4. Math. Annalen 258, 81-106 (1981).
  25. Lectures on mathematical instanton bundles.
  26. Elliptic fibres on Enriques surfaces. Compositio Mathematica, Vol. 47, Fasc. 3, 317-332 (1982). (Co-Autor: G. Angermüller)
  27. Autormorphisms of Enriques surfaces. Invent. Math. 73, 383-411 (1983). (Co-Autor: C. Peters)
  28. Lectures on K3- and Enriques surfaces. Springer Lecture Notes 1124, 21-57 (1983).
  29. Compact Complex Surfaces. Springer Verlag, 1984, Ergebnisse der Math. u. Grenzgebiete, 3. Folge, Band 4. (Co-Autoren: C. Peters u. A. Van de Ven)
  30. Shioda's modular surface S(5) and the Horrocks-Mumford bundle. In: Proceedings of the Tata conference on algebraic vector bundles over algebraic varieties. Bombay 1984. (Co-Autoren: K. Hulek und R. Moore)
  31. Projective Models of Shioda modular surfaces. Manuscripta mathematica 50, 73-132 (1985). (Co-Autor: K. Hulek)
  32. Modelle algebraischer Flächen. Kommentare von W. Barth und H. Knörrer. Mathematische Modelle, G. Fischer Ed., 7-24, Vieweg (1986).
  33. Report on Vector bundles. Proceedings of the International Congress of Mathematicians, August 1983, 16-24, Warszawa.
  34. Abelian surfaces with (1,2)-polarization. Advanced Studies in Pure Math. 10, 1987, 41-84. Algebraic Geometry, Sendai, 1985.
  35. Degenerations of Horrocks-Mumford surfaces. Math. Ann. 277, 735-755 (1987). (Co-Autoren: K. Hulek und R. Moore)
  36. Affine parts of abelian surfaces as complete intersections of four quadrics. Math. Ann. 278, 117-131 (1987).
  37. On rational plane sextics with six tritangents. Algebraic Geometry and Commutive Algebra in Honour of M. NAGATA. 45-58 (1987). (Co-Autor: R. Moore)
  38. Geometry in the space of Horrocks-Mumford surfaces. Topology, Vol. 28, No. 2, 231-245 (1989). (Co-Autor: R. Moore)
  39. Torsion on K3-sections. In: Symposia Mathematica XXXII, 1-24. (Co-Autor: A. Verra)
  40. Modular curves and Poncelet polygons. Math. Ann. 295, 25-49 (1993). (Co-Autor: J. Michel)
  41. Computer pictures of algebraic surfaces. In Computational Geometry, World Scientific, Herausgeber: A. Conte, V. Demichelis, F. Fontanella, I. Galligani (1993).
  42. Abelian surfaces of type (1,3) and quartic surfaces with 16 skew lines. J. of Alg. Geometry, Vol. 3, No. 2, 173-222 (1994). (Co-Autor: I. Nieto)
  43. Quadratic equations for level-3 abelian surfaces, Proceedings of the International Conference held in Egloffstein, Oct. 3-8, 1993, "Abelian Varieties", de Gruyter 1995, Herausgeber: W. Barth, K. Hulek, H. Lange
  44. Smooth quartic surfaces with 352 conics. manuscripta math. 85, 409-417 (1994). (Co-Autor: Th. Bauer)
  45. Two projective surfaces with many nodes, admitting the symmetries of the icosahedron. J. of Alg. Geometry, 5, 173-186 (1996).
  46. Poncelet Theorems. Expo. Math. 14, 125-144 (1996). (Co-Autor: Th. Bauer)
  47. K3 surfaces with Nine Cusps. Geometriae Dedicata 72: 171-178, (1998).
  48. On the Classification of K3 Surfaces with Nine Cusps. Complex Analysis and Algebraic Geometry - A Volume in Memory of Michael Schneider. Editors: T. Peternell, F.-O. Schreyer, 42-59 (2000).
  49. Even Sets of Eight Rational Curves on a K3-surface. Volume in Honour of H. Grauert, 1-25, Springer (2002).
  50. Polyhedral Groups and Pencils of K3-surfaces with maximal Picard Number. Asian J. Math., Vol. 7, No. 4, 519-538 (Dec 2003). (Co-Autor: A. Sarti)
  51. Equations of low-degree projective surfaces with three-divisible sets of cusps. Math. Z. 249, 283-295 (2005). (Co-Autor: S. Rams)
  52. Cusps and Codes. Math. Nachr. 280, No. 1-2, 50-59 (2007). (Co-Autor: S. Rams)

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