Publication details
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)