Vanishing of Some Galois Cohomology Groups for Elliptic Curves

DOI10.1007/978-3-319-45032-2_11zbMath1410.11052arXiv1505.02940OpenAlexW2246540496MaRDI QIDQ5273377

Tyler Lawson, Christian Wuthrich

Publication date: 6 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02940

zbMATH Keywords

Galois cohomologyelliptic curvesBirch and Swinnerton-Dyer conjecturegrunwald-Wang problem

Mathematics Subject Classification ID

Galois theory (11R32) Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items

On the local-global divisibility over abelian varieties, Counterexamples to the local-global divisibility over elliptic curves, Congruences for critical values of higher derivatives of twisted Hasse–Weil L-functions, III, The local-global principle for divisibility in CM elliptic curves, Ideal class groups of number fields and Bloch-Kato's Tate-Shafarevich groups for symmetric powers of elliptic curves, Local-global principles for Weil–Châtelet divisibility in positive characteristic, Kolyvagin's result on the vanishing of \(\Sha(E/K)[p^\infty\) and its consequences for anticyclotomic Iwasawa theory], On local-global divisibility over ${\rm GL}_2$-type varieties, On the class numbers of the fields of the p^n-torsion points of elliptic curves over \protect \mathbb{Q}, Asymptotic lower bound of class numbers along a Galois representation, Some uniform bounds for elliptic curves over \(\mathbb{Q} \), Local-global questions for divisibility in commutative algebraic groups

Uses Software

• Magma
• SageMath
• MathOverflow
• ecdata

Cites Work

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