Abelian Varieties: Proceedings of the International Conference held in Egloffstein, Germany, October 3-8, 1993

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Abelian Varieties

Proceedings of the International Conference held in Egloffstein, Germany, October 3-8, 1993

Edited by: Wolf P. Barth , Klaus Hulek and Herbert Lange

Language: English

Published/Copyright: 1995

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De Gruyter Proceedings in Mathematics

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I-IV
I

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Preface
V

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Table of contents
VII

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Quadratic equations for level-3 abelian surfaces
1
W. Barth

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Abelian threefolds in (P2)3
19
Th. Bauer and T. Szemberg

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Branch points in moduli spaces of certain abelian surfaces
25
Ηans-Jürgen Brasch

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Compact complex manifolds bimeromorphic to tori
55
Fabrizio Catanese

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Irrationality of the moduli spaces of polarized abelian surfaces
63
Valeri Gritsenko

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Appendix to the paper "Irrationality of the moduli spaces of polarized abelian surfaces"
83
V. Gritsenko and K. Hulek

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Tau-functions and modules over the Virasoro algebra
85
L. Haine and E. Horozov

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Some modular varieties related to P4
105
C. F. Hermann

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New relations between the Fourier coefficients of modular forms of Nebentypus with applications to quaternary quadratic forms
131
C. F. Hermann

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The fundamental group of some Siegel modular threefolds
141
K. Hulek and G. K. Sankaran

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Spectral curves and Prym—Tjurin varieties I
151
Vassil Kanev

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On a generalization of the Néron—Tate height on abelian varieties
199
Jürg Kramer

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Refinements of the Tate conjecture for abelian varieties
211
D. W. Masser and G. Wüstholz

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Complete subvarieties of moduli spaces
225
Frans Oort

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Abel—Jacobi invariant and curves on generic abelian varieties
237
Gian Pietro Pirola

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The Schottky ideal
251
Bernhard Runge

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Rational points on certain intersections of two quadrics
273
Peter Swinnerton-Dyer

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On the Kodaira dimension of moduli spaces of abelian varieties with non-principal polarizations
293
Yung-sheng Tai

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Abelian surfaces with a polarization of type (1,4)
303
Francesca Tovena

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Symmetries of a moduli space of abelian surfaces
323
Steven H. Weintraub

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List of Contributors
343

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Publishing information

Pages and Images/Illustrations in book

eBook published on:

June 24, 2011

eBook ISBN:

9783110889437

Hardcover published on:

March 7, 1995

Hardcover ISBN:

9783110144116

Edition:

Reprint 2011

Pages and Images/Illustrations in book

Front matter:

8

Main content:

344

Other:

Zahlr. Abb.

https://doi.org/10.1515/9783110889437

eBook ISBN: 9783110889437

Hardcover ISBN: 9783110144116

Keywords for this book

Abelsche Mannigfaltigkeit; Kongress; Egloffstein

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Abelian Varieties

Overview

Topics

Table of contents

I-IV

Preface

Table of contents

Quadratic equations for level-3 abelian surfaces

Abelian threefolds in (P2)3

Branch points in moduli spaces of certain abelian surfaces

Compact complex manifolds bimeromorphic to tori

Irrationality of the moduli spaces of polarized abelian surfaces

Appendix to the paper "Irrationality of the moduli spaces of polarized abelian surfaces"

Tau-functions and modules over the Virasoro algebra

Some modular varieties related to P4

New relations between the Fourier coefficients of modular forms of Nebentypus with applications to quaternary quadratic forms

The fundamental group of some Siegel modular threefolds

Spectral curves and Prym—Tjurin varieties I

On a generalization of the Néron—Tate height on abelian varieties

Refinements of the Tate conjecture for abelian varieties

Complete subvarieties of moduli spaces

Abel—Jacobi invariant and curves on generic abelian varieties

The Schottky ideal

Rational points on certain intersections of two quadrics

On the Kodaira dimension of moduli spaces of abelian varieties with non-principal polarizations

Abelian surfaces with a polarization of type (1,4)

Symmetries of a moduli space of abelian surfaces

List of Contributors

Bibliographic data