Dokchitser, Vladimir;
Morgan, Adam;
(2023)
A note on hyperelliptic curves with ordinary reduction over 2-adic fields.
Journal of Number Theory
, 244
pp. 264-278.
10.1016/j.jnt.2022.08.009.
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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.
| Type: | Article |
|---|---|
| Title: | A note on hyperelliptic curves with ordinary reduction over 2-adic fields |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jnt.2022.08.009 |
| Publisher version: | https://doi.org/10.1016/j.jnt.2022.08.009 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Models of curves, Hyperelliptic curves, 2-adic fields, Semistable reduction |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10164845 |
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