Elliptic curves with large Tate–Shafarevich groups over \boldmath𝔽_{𝕢}(𝕥)

DOI10.1090/conm/770/15434zbMath1497.11149arXiv1907.13038OpenAlexW4239330838MaRDI QIDQ5043433

Guus de Wit, Richard Griffon

Publication date: 21 October 2022

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13038

zbMATH Keywords

elliptic curves over function fieldsBSD conjectureTate-Shafarevich groupsGauss and Kloosterman sumsexplicit computation of \(L\)-functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Gauss and Kloosterman sums; generalizations (11L05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

On the arithmetic of a family of superelliptic curves

Cites Work

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• On the arithmetic of a family of twisted constant elliptic curves
• On the Brauer-Siegel ratio for abelian varieties over function fields
• Arithmetic of abelian varieties in Artin-Schreier extensions
• Elliptic Surfaces
• Park City lectures on elliptic curves over function fields
• The Arithmetic of Elliptic Curves
• Analogues of Brauer-Siegel theorem in arithmetic geometry

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