A note on hyperelliptic curves with ordinary reduction over 2-adic fields
Number Theory
2022-03-23 v1
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.
Keywords
Cite
@article{arxiv.2203.11254,
title = {A note on hyperelliptic curves with ordinary reduction over 2-adic fields},
author = {Vladimir Dokchitser and Adam Morgan},
journal= {arXiv preprint arXiv:2203.11254},
year = {2022}
}
Comments
12 pages, comments welcome!