Screen LibraryModuli spaces of abelian surfaces : compactification, degenerations, and theta functions /
Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions
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| Main Authors: | |
|---|---|
| Corporate Authors: | ; |
| Group Author: | ; |
| Published: |
De Gruyter,
|
| Publisher Address: | Berlin ; New York : |
| Publication Dates: |
2011. ©1993 |
| Literature type: | eBook |
| Language: | English |
| Series: |
De Gruyter expositions in mathematics ;
volume 12 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110891928 http://www.degruyter.com/doc/cover/9783110891928.jpg |
| Summary: |
Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions |
| Carrier Form: | 1 online resource (xii, 347 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783110891928 |
| Index Number: | QA564 |
| CLC: | O187.2 |
| Contents: |
2 Construction of the Horrocks-Mumford map3 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. Introduction; 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. |