Non-finite type étale sites over fields

dc.contributor.author	DHAMORE, SUJEET	en_US
dc.contributor.author	HOGADI, AMIT	en_US
dc.contributor.author	Pawar, Rakesh	en_US
dc.date.accessioned	2025-06-11T05:01:41Z
dc.date.available	2025-06-11T05:01:41Z
dc.date.issued	2025-04	en_US
dc.identifier.citation	Journal of Algebra, 668, 265-277	en_US
dc.identifier.issn	1090-266X	en_US
dc.identifier.issn	0021-8693	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2024.12.036	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10138
dc.description.abstract	We consider the notion of finite type-ness of a site introduced by Morel and Voevodsky, for the étale site of a field. For a given field k, we conjecture that the étale site of is of finite type if and only if the field k admits a finite extension of finite cohomological dimension. We prove this conjecture in some cases, e.g. in the case when k is countable, or in the case when the p-cohomological dimension is infinite for infinitely many primes p.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Simplicial homotopy theory	en_US
dc.subject	Galois cohomology	en_US
dc.subject	2025	en_US
dc.title	Non-finite type étale sites over fields	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