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Arithmetic of Complex Manifolds

Proceedings of a Conference held in Erlangen, FRG, May 27-31, 1988

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Wolf-P. Barth
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  2. Herbert Lange
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1399)

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Table of contents (12 papers)

  1. Front Matter

    Pages I-IV
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  2. Surfaces on quintic threefolds associated to the Horrocks-Mumford bundle

    • Alf Bjørn Aure
    Pages 1-9

  3. Curves of genus three on a general abelian threefold and the non-finite generation of the Griffiths group

    • Fabio Bardelli
    Pages 10-26

  4. Sur les fonctions theta du second ordre

    • Arnaud Beauville, Olivier Debarre
    Pages 27-39

  5. Une demonstration elementaire du theoreme de Torelli pour les intersections de trois quadriques generiques de dimension impaire

    • Olivier Debarre
    Pages 40-47

  6. Nodal quintics in P4

    • Bert van Geemen, Jürgen Werner
    Pages 48-59

  7. Volumes of fundamental domains of Picard modular groups

    • R.-P. Holzapfel
    Pages 60-88

  8. The siegel modular variety of degree two and level four: A report

    • Ronnie Lee, Steven H. Weintraub
    Pages 89-102

  9. Some effective estimates for elliptic curves

    • D. W. Masser, G. Wüstholz
    Pages 103-109

  10. A pencil of K3- surfaces related to Apéry's recurrence for ζ(3) and Fermi surfaces for potential zero

    • C. Peters, J. Steinstra
    Pages 110-127

  11. The work of kolyvagin on the arithmetic of elliptic curves

    • Karl Rubin
    Pages 128-136

  12. Cyclic covers of Pv branched along v + 2 hyperplanes and the generalized Hodge Conjecture for certain abelian varieties

    • Chad Schoen
    Pages 137-154

  13. On the cohomology of siegel modular threefolds

    • Rainer Weissauer
    Pages 155-170

  14. Back Matter

    Pages 171-171
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Keywords

About this book

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 recent years such problems, which are simultaneously of arithmetic and geometric interest, have become increasingly important. This proceedings volume contains 12 original research papers. Its main topics are theta functions, modular forms, abelian varieties and algebraic three-folds.

Bibliographic Information

  • Book Title: Arithmetic of Complex Manifolds

  • Book Subtitle: Proceedings of a Conference held in Erlangen, FRG, May 27-31, 1988

  • Editors: Wolf-P. Barth, Herbert Lange

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0095963

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51729-0Published: 11 October 1989

  • eBook ISBN: 978-3-540-46791-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IV, 171

  • Topics: Algebraic Geometry, Number Theory

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