Galois descent and twists of an abelian variety

DOI10.4064/aa-73-1-51-57zbMath0858.11031OpenAlexW297380780MaRDI QIDQ4871318

Masanari Kida

Publication date: 19 May 1996

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206809

zbMATH Keywords

abelian varietyisogenyMordell-Weil ranktwist\(L\)-seriesWeil restrictionGalois descent

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Isogeny (14K02) Algebraic theory of abelian varieties (14K05)

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-adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Idempotent relations and the conjecture of Birch and Swinnerton-Dyer ⋮ On metacyclic extensions ⋮ The Birch and Swinnerton-Dyer conjecture for an elliptic curve over \(\mathbb{Q}(\sqrt[4{5})\)] ⋮ Potential good reduction of elliptic curves.

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