Best, Alex J;
Betts, L Alexander;
Bisatt, Matthew;
van Bommel, Raymond;
Dokchitser, Vladimir;
Faraggi, Omri;
Kunzweiler, Sabrina;
... Nowell, Sarah; + view all
(2022)
A user's guide to the local arithmetic of hyperelliptic curves.
Bulletin of the London Mathematical Society
10.1112/blms.12604.
(In press).
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Abstract
A new approach has been recently developed to study the arithmetic of hyperelliptic curves (Formula presented.) over local fields of odd residue characteristic via combinatorial data associated to the roots of (Formula presented.). Since its introduction, numerous papers have used this machinery of ‘cluster pictures’ to compute a plethora of arithmetic invariants associated to these curves. The purpose of this user's guide is to summarise and centralise all of these results in a self-contained fashion, complemented by an abundance of examples.
| Type: | Article |
|---|---|
| Title: | A user's guide to the local arithmetic of hyperelliptic curves |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/blms.12604 |
| Publisher version: | https://doi.org/10.1112/blms.12604 |
| Language: | English |
| Additional information: | © 2022 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, MODELS, NUMBERS |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10149552 |
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