Rank gain of Jacobian varieties over finite Galois extensions

DOI10.1016/j.jnt.2017.08.010zbMath1391.14055OpenAlexW2760390494MaRDI QIDQ1677482

Bo-Hae Im, Erik Wallace

Publication date: 21 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.010

zbMATH Keywords

elliptic curvesrankJacobian varieties

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items

Rank gain of Jacobians over number field extensions with prescribed Galois groups

Cites Work

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• Topics from the theory of numbers
• On ranks of Jacobian varieties in prime degree extensions
• Vanishing and non-vanishing Dirichlet twists of L -functions of elliptic curves
• Integer Points on Curves of Genus 1