$2$-Selmer groups of hyperelliptic curves with marked points

DOI10.1090/tran/7546zbMath1444.11138arXiv1611.03172OpenAlexW2562373649MaRDI QIDQ5222737

Ananth N. Shankar

Publication date: 3 July 2019

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

Full work available at URL: https://arxiv.org/abs/1611.03172

zbMATH Keywords

hyperelliptic curvesMordell-Weil ranknon-Weierstrass point

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) [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)]

Related Items (7)

The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3 ⋮ Arithmetic statistics of Prym surfaces ⋮ A new parametrization for ideal classes in rings defined by binary forms, and applications ⋮ 2-Selmer groups of even hyperelliptic curves over function fields ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting) ⋮ \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field ⋮ Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields

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