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.date.accessioned	2022-04-04T08:56:30Z
dc.date.available	2022-04-04T08:56:30Z
dc.date.issued	2021-06	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.uri	https://doi.org/10.1016/j.jpaa.2020.106638	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6708
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.language.iso	en	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
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Pure and Applied Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US