Tate module and bad reduction
Number Theory
2026-01-13 v2
Abstract
Let C/K be a curve over a local field. We study the natural semilinear action of Galois on the minimal regular model of C over a field F where it becomes semistable. This allows us to describe the Galois action on the l-adic Tate module of the Jacobian of C/K in terms of the special fibre of this model over F.
Keywords
Cite
@article{arxiv.1809.10208,
title = {Tate module and bad reduction},
author = {Tim Dokchitser and Vladimir Dokchitser and Adam Morgan},
journal= {arXiv preprint arXiv:1809.10208},
year = {2026}
}
Comments
13 pages, final version, to appear in Proc. AMS