Non-isotrivial elliptic surfaces with non-zero average root number

DOI10.1016/J.JNT.2018.03.007zbMath1456.11100arXiv1612.03095OpenAlexW2963786170MaRDI QIDQ1651967

Chantal David, Sandro Bettin, Christophe Delaunay

Publication date: 11 July 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03095

zbMATH Keywords

rankrational elliptic surfaceroot numberaverage root number

Mathematics Subject Classification ID

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

Related Items (7)

On the typical rank of elliptic curves over \(\mathbb{Q}(T)\) ⋮ Root number in Integer parameter families of elliptic curves ⋮ Constant root number on integer fibres of elliptic surfaces ⋮ Computing the average root number of an elliptic surface ⋮ On the density of rational points on rational elliptic surfaces ⋮ Non-divisible point on a two-parameter family of elliptic curves ⋮ Explicit root numbers of abelian varieties

Uses Software

• PARI/GP

Cites Work

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