Mumford-Tate groups and domains : their geometry and arithmetic /

Green, M.

Mumford-Tate groups and domains : their geometry and arithmetic / Mark Green, Phillip Griffiths, Matt Kerr. - Princeton : Princeton University Press, 2012. - 1 online resource - Annals of mathematics studies ; no. 183 . - Annals of mathematics studies ; no. 183. .

Includes bibliographical references 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 aspects 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.


In English.

9781400842735 (electronic bk.) 1400842735 (electronic bk.)

10.1515/9781400842735 doi

22573/cttmswm JSTOR


Mumford-Tate groups.
Groupes de Mumford-Tate.
MATHEMATICS--Geometry--Algebraic.
MATHEMATICS--Group Theory.
Mumford-Tate groups.

JSTOR-DDA Mumford-Tate groups Hodge theory Geometry, Algebraic Multi-User.


Electronic books.
Electronic books.

QA564 / .G634 2012eb

516.3/5

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