Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians

DOI10.1512/iumj.2020.69.8178zbMath1456.11118arXiv1705.08777OpenAlexW3111489516MaRDI QIDQ5150889

Aaron Landesman, Ashvin A. Swaminathan, James Tao, Yujie Xu

Publication date: 15 February 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08777

zbMATH Keywords

hyperelliptic curvesJacobiansadelic Galois representations

Mathematics Subject Classification ID

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)]

Related Items (4)

A bound for the image conductor of a principally polarized abelian variety with open Galois image ⋮ Lifting subgroups of symplectic groups over \(\mathbb Z/ \ell \mathbb Z\) ⋮ Products of hyperelliptic Jacobians with maximal Galois image ⋮ Divisibility of torsion subgroups of abelian surfaces over number fields

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