Towers of surfaces dominated by products of curves and elliptic curves of large rank over function fields

DOI10.1016/j.jnt.2008.03.009zbMath1204.11098OpenAlexW1980775424MaRDI QIDQ2378226

Lisa Berger

Publication date: 7 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.03.009

zbMATH Keywords

elliptic curves\(L\)-functionsabelian varietiesBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items

Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields ⋮ Curves and Jacobians over Function Fields ⋮ On Mordell–Weil groups of Jacobians over function fields ⋮ Centers of Hodge groups of superelliptic Jacobians ⋮ Arithmetic of abelian varieties in Artin-Schreier extensions ⋮ On the Brauer-Siegel ratio for abelian varieties over function fields ⋮ A family of elliptic curves of large rank

Cites Work

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• On Fermat varieties
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• VARIETIES DOMINATED BY PRODUCT VARIETIES