Milnor-Witt cycle modules over an excellent DVR

Balwe, Chetan; PAWAR, RAKESH; HOGADI, AMIT

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dc.contributor.author	Balwe, Chetan	en_US
dc.contributor.author	HOGADI, AMIT	en_US
dc.contributor.author	PAWAR, RAKESH	en_US
dc.date.accessioned	2023-03-13T10:35:52Z
dc.date.available	2023-03-13T10:35:52Z
dc.date.issued	2023-02	en_US
dc.identifier.citation	Journal of Algebra, 615, 53-76.	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.issn	1090-266X	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2022.10.005	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7653
dc.description.abstract	The definition of Milnor-Witt cycle modules in [5] can easily be adapted over general regular base schemes. However, there are simple examples (see (2.9)) to show that Gersten complex fails to be exact for cycle modules in general if the base is not a field. The goal of this article is to show that, for a restricted class of Milnor-Witt cycle modules over an excellent DVR satisfying an extra axiom, called here as R5, the expected properties of exactness of Gersten complex and A1-invariance hold. Moreover R5 is vacuously satisfied when the base is a field and it is also satisfied by KMW over any base. As a corollary, we obtain the strict A1-invariance and the exactness of Gersten complex for KMW over an excellent DVR	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Cycle modules	en_US
dc.subject	Milnor-Witt K-theory	en_US
dc.subject	2023-MAR-WEEK1	en_US
dc.subject	TOC-MAR-2023	en_US
dc.subject	2023	en_US
dc.title	Milnor-Witt cycle modules over an excellent DVR	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US