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arXiv · 2203.11254

A note on hyperelliptic curves with ordinary reduction over 2-adic fields

Vladimir Dokchitser·Adam Morgan
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Abstract

We study a class of semistable ordinary hyperelliptic curves over 2-adic fields and the special fibre of their minimal regular model. We show that these curves can be controlled using `cluster pictures', similarly to the case of odd residue characteristic.

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Vladimir Dokchitser, Adam Morgan. 2022-03-21. A note on hyperelliptic curves with ordinary reduction over 2-adic fields. https://arxiv.org/abs/2203.11254

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