Arithmetic compactifications of PEL-type Shimura varieties

Arithmetic compactifications of PEL-type Shimura varieties / Kai-Wen Lan.

"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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Bibliographic Details
Main Author: Lan, Kai-Wen (Author)
Format: eBook
Language:English
Published: Princeton ; Oxford : Princeton University Press, [2013]
Series:London Mathematical Society monographs ; new ser., no. 36.
Subjects:
Shimura varieties.
Arithmetical algebraic geometry.
MATHEMATICS > Geometry > Algebraic.
MATHEMATICS > Geometry > General.
Arithmetical algebraic geometry
Shimura varieties
Online Access:Click for online access
Table of Contents:
  • 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.

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