On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic

DOI10.2140/ant.2013.7.2039zbMath1295.14024arXiv1104.4311OpenAlexW2963876578WikidataQ123077018 ScholiaQ123077018MaRDI QIDQ393957

Damien Roessler

Publication date: 24 January 2014

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4311

zbMATH Keywords

abelian varietypositive characteristicGalois theoryManin-Mumford conjecturejet schemes\(p\)-divisible pointslifts of pointsMordell-Lang conjecturerestriction of scalars functor

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Subvarieties of abelian varieties (14K12) Abelian varieties and schemes (14K99) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (5)

Sparsity of \(p\)-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer ⋮ Rational points of varieties with ample cotangent bundle over function fields ⋮ Infinitely \(p\)-divisible points on abelian varieties defined over function fields of characteristic \(p>0\) ⋮ An overview on problems of unlikely intersections in families of abelian varieties ⋮ Strongly semistable sheaves and the Mordell-Lang conjecture over function fields

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