Mixed Ax-Schanuel for the universal abelian varieties and some applications
Number Theory
2020-05-25 v2 Algebraic Geometry
Abstract
In this paper we prove the mixed Ax-Schanuel theorem for the universal abelian varieties (more generally any mixed Shimura variety of Kuga type), and give some simple applications. In particular we present an application to studying the generic rank of the Betti map.
Keywords
Cite
@article{arxiv.1806.01408,
title = {Mixed Ax-Schanuel for the universal abelian varieties and some applications},
author = {Ziyang Gao},
journal= {arXiv preprint arXiv:1806.01408},
year = {2020}
}
Comments
Accepted to Compositio Mathematica. Comments are welcome