Counterexamples to the local-global divisibility over elliptic curves
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Publication:1663355
DOI10.1007/s10231-017-0721-9zbMath1412.11137arXiv1705.01880OpenAlexW2964210983WikidataQ124815970 ScholiaQ124815970MaRDI QIDQ1663355
Publication date: 21 August 2018
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.01880
Related Items (5)
The local-global principle for divisibility in CM 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
Cites Work
- On the minimal set for counterexamples to the local-global principle
- On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties
- Elliptic curves with \(\mathbb Q({\mathcal E}[3)=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9]
- On the local-global principle for divisibility in the cohomology of elliptic curves
- Cohomology of integer matrices and local-global divisibility on the torus
- Local-global divisibility by 4 in elliptic curves defined over \(\mathbb Q\)
- An analogue for elliptic curves of the Grunwald--Wang example.
- Weil-Châtelet divisible elements in Tate-Shafarevich groups. II: On a question of Cassels
- Galois properties of points of finite order of elliptic curves
- Local-global divisibility of rational points in some commutative algebraic groups
- Locally trivial torsors that are not Weil-Châtelet divisible
- On local-global divisibility by p n in elliptic curves
- Elliptic Curves with Surjective Adelic Galois Representations
- Elliptic curves with maximal Galois action on their torsion points
- On a local-global principle for the divisibility of a rational point by a positive integer
- Vanishing of Some Galois Cohomology Groups for Elliptic Curves
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