Please use this identifier to cite or link to this item:
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6708| Title: | A ruled residue theorem for function fields of conics |
| Authors: | GUPTA, PARUL Becher, Karim Johannes Dept. of Mathematics |
| Keywords: | Mathematics 2021 |
| Issue Date: | Jun-2021 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Pure and Applied Algebra, 225(6), 106638. |
| Abstract: | The ruled residue theorem characterises residue field extensions for valuations on a rational function field. Under the assumption that the characteristic of the residue field is different from 2 this theorem is extended here to function fields of conics. The main result is that there is at most one extension of a valuation on the base field to the function field of a conic for which the residue field extension is transcendental but not ruled. Furthermore the situation when this valuation is present is characterised. |
| URI: | https://doi.org/10.1016/j.jpaa.2020.106638 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6708 |
| ISSN: | 0022-4049 |
| Appears in Collections: | JOURNAL ARTICLES |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.