Fast Jacobian arithmetic for hyperelliptic curves of genus 3

DOI10.2140/obs.2019.2.425zbMath1516.14061arXiv1607.08602OpenAlexW3100081760MaRDI QIDQ6165879

Andrew V. Sutherland

Publication date: 2 August 2023

Published in: The Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08602

zbMATH Keywords

hyperelliptic curveJacobiangenus 3

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Arithmetic ground fields for abelian varieties (14K15)

Related Items

Sato–Tate groups of abelian threefolds: a preview of the classification, Geometric quadratic Chabauty and \(p\)-adic heights, Addition of divisors on hyperelliptic curves via interpolation polynomials, Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3, Jacobian Versus Infrastructure in Split Hyperelliptic Curves, Unnamed Item, Divisor class group arithmetic on C3,4 curves

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