A note on o-minimal flows and the Ax--Lindemann--Weierstrass theorem for abelian varieties over $\mathbb{C}$
Logic
2016-11-16 v1 Number Theory
Abstract
In this short note we present an elementary proof of the Ax-Lindemann-Weierstrass theorem for abelian and semi-abelian varieties. The proof uses ideas of Pila, Ullmo, Yafaev, Zannier and is based on basic properties of sets definable in o-minimal structures. It does not use the Pila-Wilkie counting theorem.
Keywords
Cite
@article{arxiv.1611.04673,
title = {A note on o-minimal flows and the Ax--Lindemann--Weierstrass theorem for abelian varieties over $\mathbb{C}$},
author = {Ya'acov Peterzil and Sergei Starchenko},
journal= {arXiv preprint arXiv:1611.04673},
year = {2016}
}