Mumford-Tate groups and domains:their geometry and arithmetic

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Bibliographic Details
Main Authors: Green M (Mark)
Group Author: Kerr Matthew D 1975-; Griffiths Phillip 1938-
Published: Princeton University Press,
Publisher Address: Princeton
Publication Dates: 2012.
Literature type: Book
Language: English
Series: Annals of mathematics studies ; 183
Subjects:
Carrier Form: vi, 289 p.: ill. ; 27 cm.
ISBN: 9780691154244 (hardcover)
0691154244 (hardcover)
9780691154251 (pbk.)
0691154252 (pbk.)
Index Number: O152
CLC: O152
Call Number: O152/G797
Contents: Includes bibliographical references (p. [277]-285) and index.
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 apsects of Mumford-Tate domains -- Classification of Mumford-Tate subdomains -- Arithmetic of period maps of geometric origin.
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.