Arithmetic of Complex Manifolds Proceedings of a Conference held in
It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms. In re
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1399 W.-R Barth
H. Lange
(Eds.)
Arithmetic of Complex Manifolds Proceedings of a Conference held in Erlangen, FRG, May 27-31,1988
Springer-Verlag Berlin Heidelberg NewYork London ParisTokyo Hong Kong
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1399 W.-R Barth
H. Lange
(Eds.)
Arithmetic of Complex Manifolds Proceedings of a Conference held in Erlangen, FRG, May 27-31,1988
Springer-Verlag Berlin Heidelberg NewYork London ParisTokyo Hong Kong
Editors Wolf-P. Barth Mathematisches Institut, Universitat Erlangen 8520 Erlangen, Federal Republic of Germany Herbert Lange Mathematisches Institut, Universitat Erlangen 8520 Erlangen, Federal Republic of Germany
Mathematics Subject Classification (1980): 14-06; 10-06
ISBN 3-540-51729-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-51729-4 Springer-Verlag New York Berlin Heidelberg
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Introduction
The workshop on "Arithmetic of complex manifolds" was held at the Mathematisches Institut der Universitat in Erlangen from May 27 to May 31, 1988. It was supported by the Deutsche Forschungsgemeinschaft in the context of its Forschungsschwerpunkt "Komplexe Mannigfaltigkeiten" .
It was the aim of the meeting to bring together number theorists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms etc. During recent years such problems, which are simultaneously of arithmetic and geometric interest, have become more and more important. This volume contains written versions of some of the lectures given at the workshop as well as papers of other participants. We are grateful to all those who took part for their contributions to the success of the conference, and in particular to the contributors of this volume. We would also like to thank the DFG for financial support and the Erlangen Mathematical Department for its hospitality. The Editors.
Table of Contents
A. B. Aure
Surfaces on quintic threefolds associated Horrocks-Mumford bundle
the
1
F. Bardelli
Curves of genus three on a general abelian threefold and the non-finite generation of the Griffiths group
10
A. Beauville and O. Debarre
Sur les fonctions theta du second ordre
27
O. Debarre
Une demonstration elementaire du theoreme de Torelli· pour les inte
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