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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Ziyang Gao

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OriginalspracheEnglisch
Seiten (von - bis)2263-2297
Seitenumfang35
FachzeitschriftCompositio mathematica
Jahrgang156
Ausgabenummer11
PublikationsstatusVeröffentlicht - Nov. 2020

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.

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Mixed Ax-Schanuel for the universal abelian varieties and some applications. / Gao, Ziyang.
in: Compositio mathematica, Jahrgang 156, Nr. 11, 11.2020, S. 2263-2297.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Gao Z. Mixed Ax-Schanuel for the universal abelian varieties and some applications. Compositio mathematica. 2020 Nov;156(11):2263-2297. doi: 10.48550/arXiv.1806.01408, 10.1112/S0010437X20007447
Gao, Ziyang. / Mixed Ax-Schanuel for the universal abelian varieties and some applications. in: Compositio mathematica. 2020 ; Jahrgang 156, Nr. 11. S. 2263-2297.
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