On the variation of the root number in families of elliptic curves

DOI10.1112/jlms.12168zbMath1459.11141arXiv1610.07440OpenAlexW3104905942MaRDI QIDQ5376506

Julie Desjardins

Publication date: 10 May 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07440

zbMATH Keywords

rational pointselliptic curveelliptic surfaceroot number

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Varieties over global fields (11G35)

Related Items (5)

On the typical rank of elliptic curves over \(\mathbb{Q}(T)\) ⋮ Root number in Integer parameter families of elliptic curves ⋮ Root number of twists of an elliptic curve ⋮ On the density of rational points on rational elliptic surfaces ⋮ Explicit root numbers of abelian varieties

Cites Work

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• THE PARITY PROBLEM FOR REDUCIBLE CUBIC FORMS
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