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Arithmetic Compactifications of PEL-Type Shimura Varieties /

"By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to gradu...

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Détails bibliographiques
Auteur principal: Lan, Kai-Wen (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Oxford : Princeton University Press, [2013]
Collection:Book collections on Project MUSE.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • Definition of moduli problems
  • Representability of moduli problems
  • Structures of semi-Abelian schemes
  • Theory of degeneration for polarized Abelian schemes
  • Degeneration data for additional structures
  • Algebraic constructions of toroidal compactifications
  • Algebraic construction of minimal compactifications
  • Algebraic spaces and algebraic stacks
  • Deformations and Artin's criterion.