The Hyperbolic Ax-Lindemann-Weierstrass conjecture

Abstract

The hyperbolic Ax-Lindemann-Weierstrass conjecture is a functional algebraic independence statement for the uniformizing map of an arithmetic variety. In this paper we provide a proof of this conjecture, generalizing previous work of Pila-Tsimerman and Peterzil-Starchenko.

The only modification is A.Yafaev'acknowledgement of ERC support

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