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arXiv · 1307.3965

The Hyperbolic Ax-Lindemann-Weierstrass conjecture

Bruno Klingler·Emmanuel Ullmo·Andrei Yafaev
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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.

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Bruno Klingler, Emmanuel Ullmo, Andrei Yafaev. 2013-07-15. The Hyperbolic Ax-Lindemann-Weierstrass conjecture. https://arxiv.org/abs/1307.3965

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