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

Klaus Hulek, Thomas Peternell, Michael Schneider, Frank-Olaf Schreyer3540552359, 9783540552352

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 :
front-matter……Page 1
1Annulation du H1 pour les fibrés en droites plats……Page 6
2Results on varieties with many lines and their applications to adjunction theory……Page 21
3The stability of certain vector bundles on ℙn……Page 44
4Vector bundles, linear systems and extensions of π1……Page 56
5Vers une stratification de l’espace des modules des varietes abeliennes principalement polarisees……Page 76
6Singular hermitian metrics on positive line bundles……Page 92
7On adjoint bundles of ample vector bundles……Page 110
8Moderate degenerations of algebraic surfaces……Page 118
9Genus two fibrations revisited……Page 138
back-matter……Page 150
10Numerically effective vector bundles with small Chern classes……Page 153
11On the rank of non-rigid period maps in the weight one and two case……Page 165
12The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type……Page 174