Locally trivial torsors that are not Weil-Châtelet divisible

DOI10.1112/blms/bdt019zbMath1296.11059arXiv1206.2420OpenAlexW3101145538MaRDI QIDQ2854222

Brendan Creutz

Publication date: 18 October 2013

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2420

zbMATH Keywords

abelian varietyelliptic curveShafarevich-Tate groupWeil-Châtelet group\(p\)-divisible elementlocally trivial torsor

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10)

Related Items (11)

On the local-global divisibility over abelian varieties ⋮ Counterexamples to the local-global divisibility over elliptic curves ⋮ On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility ⋮ The local-global principle for divisibility in CM elliptic curves ⋮ Local-global principles for Weil–Châtelet divisibility in positive characteristic ⋮ Local–global divisibility on algebraic tori ⋮ Most binary forms come from a pencil of quadrics ⋮ On local-global divisibility over ${\rm GL}_2$-type varieties ⋮ Divisibility questions in commutative algebraic groups ⋮ Local-global questions for divisibility in commutative algebraic groups ⋮ Two torsion in the Brauer group of a hyperelliptic curve

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