Compactification of Siegel moduli schemes /

The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further app...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chai, Ching-Li
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1985.
Colección:London Mathematical Society lecture note series ; 107.
Temas:
Moduli theory.
Functions, Theta.
Forms, Modular.
Théorie des modules.
Fonctions thêta.
Formes modulaires.
MATHEMATICS > Functional Analysis.
Siegel-Modulfunktion
Kompaktifizierung
Siegel-Raum
Modulform
Thetafunktion
Modultheorie
Siegel-Modulform
Moduli spaces.
Variedades abelianas.
Geometria algébrica.
Modules, Théorie des.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • 1. Review of the Siegel moduli schemes
  • 2. Analytic quotient construction of families of degenerating abelian varieties
  • 3. Test families as co-ordinates at the boundary
  • 4. Propagation of Tai's theorem to positive characteristics
  • 5. Application to Siegel modular forms
  • Appendixes.

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