On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties

DOI10.1016/j.jnt.2016.10.012zbMath1356.11081arXiv1609.00410OpenAlexW2963112660MaRDI QIDQ503707

Gabriele Ranieri, Florence Gillibert

Publication date: 23 January 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00410

zbMATH Keywords

Galois cohomologyelliptic curveslocal-global\(\mathrm{GL}_2\)-type varietiesquaternionic multiplication

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Galois cohomology (11R34)

Related Items

Counterexamples to the local-global divisibility over elliptic curves ⋮ Local–global divisibility on algebraic tori ⋮ 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

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