The Ax-Schanuel conjecture for variations of Hodge structures
Algebraic Geometry
2017-12-15 v1 Logic
Number Theory
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.
Keywords
Cite
@article{arxiv.1712.05088,
title = {The Ax-Schanuel conjecture for variations of Hodge structures},
author = {Benjamin Bakker and Jacob Tsimerman},
journal= {arXiv preprint arXiv:1712.05088},
year = {2017}
}