The Ax-Schanuel conjecture for variations of Hodge structures
成果类型：
Article
署名作者：
Bakker, Benjamin; Tsimerman, Jacob
署名单位：
University System of Georgia; University of Georgia; University of Toronto
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-019-00863-8
发表日期：
2019
页码：
77-94
关键词：
摘要：
We extend the Ax-Schanuel theorem recently proven for Shimura varieties by Mok-Pila-Tsimerman to all varieties supporting a pure polarizable integral variation of Hodge structures. In fact, Hodge theory provides a number of conceptual simplifications to the argument. The essential new ingredient is a volume bound for Griffiths transverse subvarieties of period domains.