The Ax-Schanuel conjecture for variations of Hodge structures

Published 14 Dec 2017 in math.AG, math.LO, and math.NT | (1712.05088v1)

Abstract: We extend the Ax-Schanuel theorem recently proven for Shimura varieties by Mok-Pila-Tsimerman to all varieties supporting a pure polarized integral variation of Hodge structures. The essential new ingredient is a volume bound on Griffiths transverse subvarieties of period domains.

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