Homogeneous spaces, algebraic K-theory and cohomological dimension of fields
Author
dc.contributor.author
Izquierdo, Diego
Author
dc.contributor.author
Lucchini Arteche, Giancarlo
Admission date
dc.date.accessioned
2022-06-07T20:34:08Z
Available date
dc.date.available
2022-06-07T20:34:08Z
Publication date
dc.date.issued
2022
Cita de ítem
dc.identifier.citation
Journal of European Mathematical Society (2022) 6:2169-2189
es_ES
Identifier
dc.identifier.other
10.4171/JEMS/1129
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/185896
Abstract
dc.description.abstract
Let q be a non-negative integer. We prove that a perfect field K has cohomological dimension at most q + 1 if, and only if, for any finite extension L of K and for any homogeneous space Z under a smooth linear connected algebraic group over L, the q-th Milnor K-theory group of L is spanned by the images of the norms coming from finite extensions of L over which Z has a rational point. We also prove a variant of this result for imperfect fields.
es_ES
Patrocinador
dc.description.sponsorship
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
CONICYT FONDECYT 11170016
79170034
es_ES
Lenguage
dc.language.iso
en
es_ES
Publisher
dc.publisher
European Mathematical Society, Suiza
es_ES
Type of license
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 United States