On local-global divisibility by p n in elliptic curves

DOI10.1112/blms/bds012zbMath1254.11056arXiv1104.4762OpenAlexW2963514114MaRDI QIDQ2903280

Laura Paladino, Gabriele Ranieri, Evelina Viada

Publication date: 8 August 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4762

zbMATH Keywords

elliptic curveslocal-global divisibility

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves over local fields (11G07) Galois cohomology (11R34)

Related Items (12)

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 ⋮ On the minimal set for counterexamples to the local-global principle ⋮ The local-global principle for divisibility in CM elliptic curves ⋮ Local-global principles for Weil–Châtelet divisibility in positive characteristic ⋮ On local-global divisibility over ${\rm GL}_2$-type varieties ⋮ On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties ⋮ Number fields generated by the 3-torsion points of an elliptic curve ⋮ Preperiodic points for rational functions defined over a global field in terms of good reduction ⋮ Divisibility questions in commutative algebraic groups ⋮ Local-global questions for divisibility in commutative algebraic groups

This page was built for publication: On local-global divisibility by p ⁿ in elliptic curves