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Tate module and bad reduction

Dokchitser, T; Dokchitser, V; Morgan, A; (2020) Tate module and bad reduction. Proceedings of the American Mathematical Society 10.1090/proc/15067. (In press).

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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

Type: Article
Title: Tate module and bad reduction
DOI: 10.1090/proc/15067
Publisher version: https://doi.org/10.1090/proc/15067
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10094210
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