Mixed Ax-Schanuel for the universal abelian varieties and some applications

authored by

Ziyang Gao

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Compositio mathematica

Volume

156

Pages

2263-2297

No. of pages

35

ISSN

0010-437x

Publication date

11.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://doi.org/10.48550/arXiv.1806.01408 (Access: Open)
https://doi.org/10.1112/S0010437X20007447 (Access: Closed)