Moduli Spaces of Abelian Surfaces
Compactification, Degenerations and Theta Functions
1st Edition
Published on 3. May 2011
XII, 347 pages
978-3-11-089192-8 (ISBN)
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Klaus Hulek | Constantin Kahn | Steven H. Weintraub
Moduli Spaces of Abelian Surfaces
Compactification, Degenerations and Theta Functions
Book
10/1993
1st Edition
De Gruyter
€169.95
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Klaus Hulek | Constantin Kahn | Steven H. Weintraub
Moduli Spaces of Abelian Surfaces
Compactification, Degenerations and Theta Functions
Book
01/1993
1st Edition
De Gruyter
€239.00
Article exhausted; check different version
Content
- Intro
- 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
- 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
