Moduli spaces of Abelian surfaces : compactification, degenerations, and theta functions / by Klaus Hulek, Constantin Kahn, Steven H. Weintraub.

Format:

Book

Author/Creator:

Hulek, Klaus.

Contributor:

Kahn, Constantin, 1960-

Weintraub, Steven H.

Series:

De Gruyter Expositions in Mathematics

De Gruyter expositions in mathematics ; 12

Language:

English

Subjects (All):

Moduli theory.

Abelian varieties.

Physical Description:

1 online resource (360 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : W. de Gruyter, 1993.

Language Note:

English

Summary:

Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions.

Contents:

Front matter

I Compactified moduli spaces

1 Moduli spaces

2 Torus embeddings and applications

3 Toroidal compactification of A(1, p)

4 The boundary of A*(1, p)

5 Humbert surfaces and scaffoldings

6 The Satake compactification

II Degenerations of abelian surfaces

1 Mumford's construction

2 The basic construction for surfaces

3 Degenerate abelian surfaces (the principally polarized case)

4 Degenerate abelian surfaces (the case of (1,p)-polarization)

5 Polarizations on degenerate abelian surfaces

III The Horrocks-Mumford map

1 The Horrocks-Mumford bundle

2 Construction of the Horrocks-Mumford map

3 Extension of the Horrocks-Mumford map to A(1, 5)

4 Extension of the Horrocks-Mumford map to A* (1, 5)

Bibliography

Glossary of Notations

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9783110891928

3110891921

OCLC:

843635262