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arXiv · 1809.10208

Tate module and bad reduction

Tim Dokchitser·Vladimir Dokchitser·Adam Morgan
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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.

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Tim Dokchitser, Vladimir Dokchitser, Adam Morgan. 2018-09-26. Tate module and bad reduction. https://doi.org/10.1090/proc/15067

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