On the distribution of rational points on ramified covers of abelian varieties

DOI10.1112/S0010437X22007746zbMath1506.14048arXiv2011.12840OpenAlexW3164648664MaRDI QIDQ5056646

Julian Demeio, Davide Lombardo, Pietro Corvaja, Ariyan Javanpeykar, Umberto Zannier

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2011.12840

zbMATH Keywords

rational pointsabelian varietiesKummer theoryHilbert's irreducibility theoremramified coversLang's conjecturesCampana's conjecturesChebotarev density theorems

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Varieties over global fields (11G35) Arithmetic ground fields for abelian varieties (14K15)

Related Items (5)

The Hilbert property for arithmetic schemes ⋮ A Hilbert irreducibility theorem for Enriques surfaces ⋮ Ramified covers of abelian varieties over torsion fields ⋮ Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields ⋮ Boundedness in families with applications to arithmetic hyperbolicity

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