The distribution of Selmer ranks of quadratic twists of Jacobians of hyperelliptic curves

DOI10.4310/MRL.2019.V26.N4.A12zbMath1453.11086WikidataQ126985218 ScholiaQ126985218MaRDI QIDQ2331790

Myungjun Yu

Publication date: 30 October 2019

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curvesJacobiansquadratic twistsMordell-Weil groupsLagrangian subspacesmetabolic spacesSelmer ranks

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)

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