A note on hyperelliptic curves with ordinary reduction over 2-adic fields
- Resource Type
- Working Paper
- Authors
- Dokchitser, Vladimir; Morgan, Adam
- Source
- Subject
- Mathematics - Number Theory
11G20 (14D10, 14H25, 14H45)
- Language
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.
Comment: 12 pages, comments welcome!