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arXiv · 1712.05088

The Ax-Schanuel conjecture for variations of Hodge structures

Benjamin Bakker·Jacob Tsimerman
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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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Benjamin Bakker, Jacob Tsimerman. 2017-12-14. The Ax-Schanuel conjecture for variations of Hodge structures. https://arxiv.org/abs/1712.05088

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