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

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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Weintraub, Steven H.
Otros Autores: Hulek, Klaus, Kahn, Constantin
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 1993.
Colección:De Gruyter expositions in mathematics.
Temas:
Moduli theory.
Abelian varieties.
Théorie des modules.
Variétés abéliennes.
Abelian varieties
Moduli theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 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

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