Ax-Schanuel for Shimura varieties

We prove the Ax-Schanuel theorem for a general (pure) Shimura variety. A basic version of the theorem concerns the transcendence of the uniformization map from a bounded Hermitian symmetric space to a Shimura variety. We then prove a version of the theorem with derivatives in the setting of jet spac...

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Bibliographic Details
Main Authors: Mok, N, Pila, J, Tsimerman, J
Format: Journal article
Published: Princeton University, Department of Mathematics 2019