Mumford-Tate groups and domains:their geometry and arithmetic
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Main Authors: | |
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Group Author: | ; |
Published: |
Princeton University Press,
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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. |