Mumford-Tate groups and domains their geometry and arithmetic - Green, Mark 1947- (Princeton University Press, 2012)
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
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
Keywords: MATHEMATICS / Geometry / Algebraic; MATHEMATICS / Group Theory; Mumford-Tate groups; Mumford-Tate-Gruppe