Local-global divisibility by 4 in elliptic curves defined over \(\mathbb Q\)

DOI10.1007/s10231-009-0098-5zbMath1208.11074OpenAlexW2088176644MaRDI QIDQ1048224

Laura Paladino

Publication date: 11 January 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0098-5

zbMATH Keywords

elliptic curvesthe local-global divisibility problem

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Galois cohomology (11R34)

Related Items

On the local-global divisibility over abelian varieties ⋮ Counterexamples to the local-global divisibility over elliptic curves ⋮ Elliptic curves with \(\mathbb Q({\mathcal E}[3)=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9] ⋮ On local-global divisibility over ${\rm GL}_2$-type varieties ⋮ Fields generated by torsion points of elliptic curves ⋮ Divisibility questions in commutative algebraic groups ⋮ Generators and number fields for torsion points of a special elliptic curve ⋮ Local-global questions for divisibility in commutative algebraic groups

Cites Work

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• Local-global divisibility of rational points in some commutative algebraic groups
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• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Ein allgemeines Existenztheorem für algebraische Zahlkörper.

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