Complex Algebraic Varieties: Proceedings of a Conference held in Bayreuth, Germany, April 2–6, 1990

Arnaud Beauville (auth.), Klaus Hulek, Thomas Peternell, Michael Schneider, Frank-Olaf Schreyer (eds.)9780387552354, 0-387-55235-9, 3540552359

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.

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Table of contents :
Annulation du H 1 pour les fibrés en droites plats….Pages 1-15
Results on varieties with many lines and their applications to adjunction theory….Pages 16-38
The stability of certain vector bundles on ℙ n ….Pages 39-50
Vector bundles, linear systems and extensions of π 1 ….Pages 51-70
Vers une stratification de l’espace des modules des varietes abeliennes principalement polarisees….Pages 71-86
Singular hermitian metrics on positive line bundles….Pages 87-104
On adjoint bundles of ample vector bundles….Pages 105-112
Moderate degenerations of algebraic surfaces….Pages 113-132
Genus two fibrations revisited….Pages 133-144
Numerically effective vector bundles with small Chern classes….Pages 145-156
On the rank of non-rigid period maps in the weight one and two case….Pages 157-165
The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type….Pages 166-175