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On the density of abelian surfaces with Tate- Shafarevich group of order five times a square

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Publication:2949506
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zbMath1345.11037arXiv1303.3500MaRDI QIDQ2949506

Stefan Keil, Remke Kloosterman

Publication date: 1 October 2015

Full work available at URL: https://arxiv.org/abs/1303.3500


zbMATH Keywords

abelian surfaceTate-Shafarevich groupsCassels-Tate equation


Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) 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) Arithmetic ground fields for abelian varieties (14K15)


Related Items (1)

Examples of non-simple abelian surfaces over the rationals with non-square order Tate-Shafarevich group







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