Generic rank of Betti map and unlikely intersections

DOI10.1112/S0010437X20007435zbMath1481.11063arXiv1810.12929OpenAlexW3119078961MaRDI QIDQ5150220

Ziyang Gao

Publication date: 10 February 2021

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

Full work available at URL: https://arxiv.org/abs/1810.12929

zbMATH Keywords

unlikely intersectionsabelian schemeBetti mapBetti rank

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)

Related Items (11)

Betti maps, Pell equations in polynomials and almost-Belyi maps ⋮ 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 ⋮ The Ax-Schanuel conjecture for variations of mixed Hodge structures ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Dynamics on ℙ¹: preperiodic points and pairwise stability ⋮ A consequence of the relative Bogomolov conjecture ⋮ Unlikely intersections between isogeny orbits and curves ⋮ Corrigendum: Generic rank of Betti map and unlikely intersections

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