Mumford-Tate Groups and Domains: Their Geometry and Arithmetic

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 will become 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 th...