Tame torsion and the tame inverse Galois problem
Number Theory
2026-01-13 v2
Abstract
Fix a positive integer and a squarefree integer . We prove the existence of a genus curve such that the mod representation of its Jacobian is tame. The method is to analyse the period matrices of hyperelliptic Mumford curves, which could be of independent interest. As an application, we study the tame version of the inverse Galois problem for symplectic matrix groups over finite fields.
Keywords
Cite
@article{arxiv.1912.08043,
title = {Tame torsion and the tame inverse Galois problem},
author = {Matthew Bisatt and Tim Dokchitser},
journal= {arXiv preprint arXiv:1912.08043},
year = {2026}
}