Details
| Original language | English |
|---|---|
| Pages (from-to) | 2263-2297 |
| Number of pages | 35 |
| Journal | Compositio mathematica |
| Volume | 156 |
| Issue number | 11 |
| Publication status | Published - Nov 2020 |
Abstract
Keywords
- math.NT, math.AG, 11G10, 11G18, 14G35, mixed Shimura varieties, Universal abelian variety, Ax-Schanuel
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Compositio mathematica, Vol. 156, No. 11, 11.2020, p. 2263-2297.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mixed Ax-Schanuel for the universal abelian varieties and some applications
AU - Gao, Ziyang
PY - 2020/11
Y1 - 2020/11
N2 - 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.
AB - 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.
KW - math.NT
KW - math.AG
KW - 11G10, 11G18, 14G35
KW - mixed Shimura varieties
KW - Universal abelian variety
KW - Ax-Schanuel
UR - http://www.scopus.com/inward/record.url?scp=85098626119&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1806.01408
DO - 10.48550/arXiv.1806.01408
M3 - Article
VL - 156
SP - 2263
EP - 2297
JO - Compositio mathematica
JF - Compositio mathematica
SN - 0010-437x
IS - 11
ER -