The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3

DOI10.2140/ant.2022.16.1161OpenAlexW3082954809WikidataQ114045523 ScholiaQ114045523MaRDI QIDQ2166205

Jef Laga

Publication date: 24 August 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13158

zbMATH Keywords

rational pointsSelmer groupsJacobiansgeometry of numbersarithmetic statisticsnon-hyperelliptic curvesMumford theta groups

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) [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)] Global ground fields in algebraic geometry (14G25) Galois cohomology of linear algebraic groups (11E72)

Related Items (4)

The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3 ⋮ Arithmetic statistics of Prym surfaces ⋮ Rank growth of elliptic curves over 𝑁-th root extensions ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting)

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