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

Published 21 Mar 2022 in math.NT | (2203.11254v1)

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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