Mumford-Tate Groups and Domains : Their Geometry and Arithmetic (AM-183) /

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results,...

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Bibliographic Details
Main Authors: Green, Mark (Author), Kerr, Matt (Author), Griffiths, Phillip A. (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. : Princeton University Press, [2012]
Edition:Course book.
Series:Book collections on Project MUSE.
Subjects:
Mumford-Tate groups.
MATHEMATICS > Group Theory.
MATHEMATICS > Geometry > Algebraic.
Electronic books.
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Contents
  • Introduction
  • Chapter I. Mumford-Tate Groups
  • Chapter II. Period Domains and Mumford-Tate Domains
  • Chapter III. The Mumford-Tate Group of a Variation of Hodge Structure
  • Chapter IV. Hodge Representations and Hodge Domains
  • Chapter V. Hodge Structures With Complex Multiplication
  • Chapter VI. Arithmetic Aspects of Mumford-Tate Domains
  • Chapter VII. Classification of Mumford-Tate Subdomains
  • Chapter VIII. Arithmetic of Period Maps of Geometric Origin
  • Index.

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