Tate module and bad reduction

Fuente: arXiv
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Autores principales: Dokchitser, Tim, Dokchitser, Vladimir, Morgan, Adam
Formato: Preprint
Publicado: 2018
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author Dokchitser, Tim
Dokchitser, Vladimir
Morgan, Adam
author_facet Dokchitser, Tim
Dokchitser, Vladimir
Morgan, Adam
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1809_10208
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Tate module and bad reduction
Dokchitser, Tim
Dokchitser, Vladimir
Morgan, Adam
Number Theory
11G20 (11G25, 14F20, 11G07, 11G10)
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.
title Tate module and bad reduction
topic Number Theory
11G20 (11G25, 14F20, 11G07, 11G10)
url https://arxiv.org/abs/1809.10208