A ruled residue theorem for function fields of conics
| dc.contributor.author | GUPTA, PARUL | en_US |
| dc.contributor.author | Becher, Karim Johannes | en_US |
| dc.contributor.department | Dept. of Mathematics | en_US |
| dc.date.accessioned | 2022-04-04T08:56:30Z | |
| dc.date.available | 2022-04-04T08:56:30Z | |
| dc.date.issued | 2021-06 | en_US |
| dc.description.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. | en_US |
| dc.identifier.citation | Journal of Pure and Applied Algebra, 225(6), 106638. | en_US |
| dc.identifier.issn | 0022-4049 | en_US |
| dc.identifier.sourcetitle | Journal of Pure and Applied Algebra | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jpaa.2020.106638 | |
| dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6708 | |
| dc.language.iso | en | en_US |
| dc.publication.originofpublisher | Foreign | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | 2021 | en_US |
| dc.title | A ruled residue theorem for function fields of conics | en_US |
| dc.type | Article | en_US |