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Quadratic Twists of Abelian Varieties With Real Multiplication

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Publication:5006226
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DOI10.1093/imrn/rnz185zbMath1484.14089arXiv1710.04086OpenAlexW2979451552WikidataQ127597542 ScholiaQ127597542MaRDI QIDQ5006226

Ari Shnidman

Publication date: 13 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04086


zbMATH Keywords

rational pointsabelian varietiestwistsSelmer groupBSD conjectureReal multiplication


Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic ground fields for abelian varieties (14K15)


Related Items (7)

Elements of prime order in Tate–Shafarevich groups of abelian varieties over ⋮ Rank growth of elliptic curves over 𝑁-th root extensions ⋮ Genus two curves with full \(\sqrt{3}\)-level structure and Tate-Shafarevich groups ⋮ Some extensions of the modular method and Fermat equations of signature \((13,13,n)\) ⋮ Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families ⋮ \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field ⋮ On a conjecture of Agashe







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