A positive characteristic Manin–Mumford theorem

DOI10.1112/S0010437X05001879zbMath1089.03030arXivmath/0303340MaRDI QIDQ3370367

Thomas J. Scanlon

Publication date: 7 February 2006

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

Full work available at URL: https://arxiv.org/abs/math/0303340

zbMATH Keywords

difference fieldsManin-Mumford conjecturetorsion pointssemiabelian varietiesMordell-Lang problemmodular groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Subvarieties of abelian varieties (14K12) Difference algebra (12H10)

Related Items (11)

Non-density of small points on divisors on Abelian varieties and the Bogomolov conjecture ⋮ Trace of abelian varieties over function fields and the geometric Bogomolov conjecture ⋮ Linear equations over multiplicative groups in positive characteristic. II. ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic. II ⋮ Mordell-Lang in positive characteristic ⋮ Strict supports of canonical measures and applications to the geometric Bogomolov conjecture ⋮ Almost-simple affine difference algebraic groups ⋮ Unstable structures definable in o-minimal theories ⋮ On algebraic 𝜎-groups ⋮ Positivity of Hodge bundles of abelian varieties over some function fields

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