Isotriviality and étale cohomology of Laurent polynomial rings

Autores
Gille, Philippe; Pianzola, Arturo
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We provide a detailed study of torsors over Laurent polynomial rings under the action of an algebraic group. As applications we obtain variations of  Raghunathan´s result on torsors over affine space, isotriviality results for reductive group schemes and forms of algebras, and decomposition properties for Azumaya algebras.
Fil: Gille, Philippe. Centre National de la Recherche Scientifique. Ecole Normale Supérieure; Francia
Fil: Pianzola, Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. University of Alberta; Canadá
Materia
Isotriviality
Etale cohomology
Azumaya algebra
Laurent polynomial ring
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/282199
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/282199
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Isotriviality and étale cohomology of Laurent polynomial ringsGille, PhilippePianzola, ArturoIsotrivialityEtale cohomologyAzumaya algebraLaurent polynomial ringhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We provide a detailed study of torsors over Laurent polynomial rings under the action of an algebraic group. As applications we obtain variations of  Raghunathan´s result on torsors over affine space, isotriviality results for reductive group schemes and forms of algebras, and decomposition properties for Azumaya algebras.Fil: Gille, Philippe. Centre National de la Recherche Scientifique. Ecole Normale Supérieure; FranciaFil: Pianzola, Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. University of Alberta; CanadáElsevier Science2008-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/282199Gille, Philippe; Pianzola, Arturo; Isotriviality and étale cohomology of Laurent polynomial rings; Elsevier Science; Journal Of Pure And Applied Algebra; 212; 4; 4-2008; 780-8000022-4049CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404907001818info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2007.07.005info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-05-13T11:11:14Zoai:ri.conicet.gov.ar:11336/282199instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-05-13 11:11:15.064CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Isotriviality and étale cohomology of Laurent polynomial rings
title Isotriviality and étale cohomology of Laurent polynomial rings
spellingShingle Isotriviality and étale cohomology of Laurent polynomial rings
Gille, Philippe
Isotriviality
Etale cohomology
Azumaya algebra
Laurent polynomial ring
title_short Isotriviality and étale cohomology of Laurent polynomial rings
title_full Isotriviality and étale cohomology of Laurent polynomial rings
title_fullStr Isotriviality and étale cohomology of Laurent polynomial rings
title_full_unstemmed Isotriviality and étale cohomology of Laurent polynomial rings
title_sort Isotriviality and étale cohomology of Laurent polynomial rings
dc.creator.none.fl_str_mv Gille, Philippe
Pianzola, Arturo
author Gille, Philippe
author_facet Gille, Philippe
Pianzola, Arturo
author_role author
author2 Pianzola, Arturo
author2_role author
dc.subject.none.fl_str_mv Isotriviality
Etale cohomology
Azumaya algebra
Laurent polynomial ring
topic Isotriviality
Etale cohomology
Azumaya algebra
Laurent polynomial ring
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We provide a detailed study of torsors over Laurent polynomial rings under the action of an algebraic group. As applications we obtain variations of  Raghunathan´s result on torsors over affine space, isotriviality results for reductive group schemes and forms of algebras, and decomposition properties for Azumaya algebras.
Fil: Gille, Philippe. Centre National de la Recherche Scientifique. Ecole Normale Supérieure; Francia
Fil: Pianzola, Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. University of Alberta; Canadá
description We provide a detailed study of torsors over Laurent polynomial rings under the action of an algebraic group. As applications we obtain variations of  Raghunathan´s result on torsors over affine space, isotriviality results for reductive group schemes and forms of algebras, and decomposition properties for Azumaya algebras.
publishDate 2008
dc.date.none.fl_str_mv 2008-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/282199
Gille, Philippe; Pianzola, Arturo; Isotriviality and étale cohomology of Laurent polynomial rings; Elsevier Science; Journal Of Pure And Applied Algebra; 212; 4; 4-2008; 780-800
0022-4049
CONICET Digital
CONICET
url http://hdl.handle.net/11336/282199
identifier_str_mv Gille, Philippe; Pianzola, Arturo; Isotriviality and étale cohomology of Laurent polynomial rings; Elsevier Science; Journal Of Pure And Applied Algebra; 212; 4; 4-2008; 780-800
0022-4049
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404907001818
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2007.07.005
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1865200357287657472
score 13.115601

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