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

Mark Green, Phillip A. Griffiths, and Matt Kerr

Abstract

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, it is an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. ... More

Keywords: algebraic geometry, Mumford-Tate group, Hodge theory, semisimple Lie group, Lie group, automorphic cohomology, Mumford-Tate domain, Hodge representation, arithmetic group

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780691154244
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691154244.001.0001

Authors

Affiliations are at time of print publication.

Mark Green, author
University of California, Los Angeles

Phillip A. Griffiths, author
Institute for Advanced Study

Matt Kerr, author
Washinton University