1.

Record Nr.

UNINA9910785823003321

Autore

Hulek Klaus

Titolo

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

Pubbl/distr/stampa

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

ISBN

3-11-089192-1

Edizione

[Reprint 2011]

Descrizione fisica

1 online resource (360 p.)

Collana

De Gruyter expositions in mathematics ; ; 12

Classificazione

SK 230

Altri autori (Persone)

KahnConstantin <1960->

WeintraubSteven H

Disciplina

516.3/53

Soggetti

Moduli theory

Abelian varieties

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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