Complex Algebraic Varieties

1. Front Matter

   Pages I-V

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2. Annulation du H1 pour les fibrés en droites plats

   • Arnaud Beauville

   Pages 1-15

3. Results on varieties with many lines and their applications to adjunction theory

   • Mauro C. Beltrametti, Andrew J. Sommese, Jaroslaw A. Wiśniewski

   Pages 16-38

4. The stability of certain vector bundles on ℙⁿ

   • Guntram Bohnhorst, Heinz Spindler

   Pages 39-50

5. Vector bundles, linear systems and extensions of π1

   • F. Catanese, F. Tovena

   Pages 51-70

6. Vers une stratification de l’espace des modules des varietes abeliennes principalement polarisees

   • Olivier Debarre

   Pages 71-86

7. Singular hermitian metrics on positive line bundles

   • Jean-Pierre Damailly

   Pages 87-104

8. On adjoint bundles of ample vector bundles

   • Takao Fujita

   Pages 105-112

9. Moderate degenerations of algebraic surfaces

   • Yujiro Kawamata

   Pages 113-132

10. Genus two fibrations revisited

    • Ulf Persson

    Pages 133-144

11. Numerically effective vector bundles with small Chern classes

    • Th. Peternell, M. Szurek, J. A. Wiśniewski

    Pages 145-156

12. On the rank of non-rigid period maps in the weight one and two case

    • C. A. M. Peters

    Pages 157-165

13. The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type

    • A. N. Tyurin

    Pages 166-175

14. Back Matter

    Pages 177-179

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The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibrations revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski: Numerically effective vector bundles with small Chern classes.- C.A.M. Peters: On the rank of non-rigid period maps in the weight one and two case.- A.N. Tyurin: The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.

• Abelian Varieties
• Algebraic Varieties
• Cohomology
• Surfaces
• Vector Bundles
• differential geometry
• moduli space

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