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

Z Gao - Compositio Mathematica, 2020 - cambridge.org
Compositio Mathematica, 2020cambridge.org
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 for studying the generic rank of the Betti
map.
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 for studying the generic rank of the Betti map.
Cambridge University Press
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