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

DOI10.1112/S0010437X20007447zbMath1477.11118arXiv1806.01408OpenAlexW3111337218MaRDI QIDQ5148393

Ziyang Gao

Publication date: 4 February 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01408

zbMATH Keywords

mixed Shimura varietiesAx-Schanueluniversal abelian variety

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (10)

Independence of CM points in elliptic curves ⋮ Uniformity in Mordell-Lang for curves ⋮ The relative Bogomolov conjecture for fibered products of elliptic curves ⋮ The number of rational points on a curve of genus at least two ⋮ Hodge theory, between algebraicity and transcendence ⋮ The Ax-Schanuel conjecture for variations of mixed Hodge structures ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Dynamics on ℙ¹: preperiodic points and pairwise stability ⋮ Generic rank of Betti map and unlikely intersections ⋮ Ax-Schanuel type theorems on functional transcendence via Nevanlinna theory

Cites Work

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