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

Klaus Hulek; Constantin Kahn; Steven H. Weintraub

Published by De Gruyter 1993

Moduli Spaces of Abelian Surfaces

Compactification, Degenerations and Theta Functions

Klaus Hulek , Constantin Kahn and Steven H. Weintraub

Volume 12 in the series De Gruyter Expositions in Mathematics

https://doi.org/10.1515/9783110891928

Contents

Frontmatter Publicly Available Download PDF	I
I Compactified moduli spaces
1 Moduli spaces Requires Authentication Unlicensed Licensed Download PDF	3
2 Torus embeddings and applications Requires Authentication Unlicensed Licensed Download PDF	14
3 Toroidal compactification of A(1, p) Requires Authentication Unlicensed Licensed Download PDF	45
4 The boundary of A*(1, p) Requires Authentication Unlicensed Licensed Download PDF	125
5 Humbert surfaces and scaffoldings Requires Authentication Unlicensed Licensed Download PDF	155
6 The Satake compactification Requires Authentication Unlicensed Licensed Download PDF	184
II Degenerations of abelian surfaces
1 Mumford’s construction Requires Authentication Unlicensed Licensed Download PDF	193
2 The basic construction for surfaces Requires Authentication Unlicensed Licensed Download PDF	204
3 Degenerate abelian surfaces (the principally polarized case) Requires Authentication Unlicensed Licensed Download PDF	215
4 Degenerate abelian surfaces (the case of (1,p)-polarization) Requires Authentication Unlicensed Licensed Download PDF	235
5 Polarizations on degenerate abelian surfaces Requires Authentication Unlicensed Licensed Download PDF	245
III The Horrocks-Mumford map
1 The Horrocks-Mumford bundle Requires Authentication Unlicensed Licensed Download PDF	273
2 Construction of the Horrocks-Mumford map Requires Authentication Unlicensed Licensed Download PDF	281
3 Extension of the Horrocks-Mumford map to A(1, 5) Requires Authentication Unlicensed Licensed Download PDF	298
4 Extension of the Horrocks-Mumford map to A* (1, 5) Requires Authentication Unlicensed Licensed Download PDF	305
Bibliography Requires Authentication Unlicensed Licensed Download PDF	333
Glossary of Notations Requires Authentication Unlicensed Licensed Download PDF	337
Index Requires Authentication Unlicensed Licensed Download PDF	343

Language: English
Publisher: De Gruyter
Edition: Reprint 2011
Pages
- Front matter: 12
- Main content: 347
Illustrations
- Other: Num. figs.
Keywords: Abelsche Mannigfaltigkeit; Modulraum

eBook

Published: May 3, 2011
ISBN: 9783110891928

Hardcover

Published: October 1, 1993
ISBN: 9783110138511