The Hyperbolic Ax-Lindemann-Weierstrass conjecture
Algebraic Geometry
2018-01-19 v2 Complex Variables
Number Theory
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.
Cite
@article{arxiv.1307.3965,
title = {The Hyperbolic Ax-Lindemann-Weierstrass conjecture},
author = {Bruno Klingler and Emmanuel Ullmo and Andrei Yafaev},
journal= {arXiv preprint arXiv:1307.3965},
year = {2018}
}
Comments
The only modification is A.Yafaev'acknowledgement of ERC support