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Mumford-Tate groups and domains : their geometry and arithmetic / Mark Green, Phillip Griffiths, Matt Kerr.

By: Contributor(s): Material type: TextTextSeries: Annals of mathematics studies ; no. 183.Publication details: Princeton : Princeton University Press, 2012.Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781400842735
  • 1400842735
Subject(s): Genre/Form: Additional physical formats: Print version:: Mumford-Tate groups and domains.DDC classification:
  • 516.3/5 23
LOC classification:
  • QA564 .G634 2012eb
Online resources:
Contents:
Mumford-Tate groups -- Period domains and Mumford-Tate domains -- The Mumford-Tate group of a variation of Hodge structure -- Hodge representations and Hodge domains -- Hodge structures with complex multiplication -- Arithmetic aspects of Mumford-Tate domains -- Classification of Mumford-Tate subdomains -- Arithmetic of period maps of geometric origin.
Summary: 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.
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Includes bibliographical references and index.

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.

Print version record.

Mumford-Tate groups -- Period domains and Mumford-Tate domains -- The Mumford-Tate group of a variation of Hodge structure -- Hodge representations and Hodge domains -- Hodge structures with complex multiplication -- Arithmetic aspects of Mumford-Tate domains -- Classification of Mumford-Tate subdomains -- Arithmetic of period maps of geometric origin.

In English.

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