Torsors over the punctured affine line

Autores
Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We provide a classification of G-torsors over the punctured affine line Spec (k[t ±1 ]) where G is a reductive algebraic group defined over a field k of good characteristic. Our classification is in terms of the Galois cohomology of the complete field k((t)) with values in G. Keywords: Linear algebraic group, group scheme, torsor, punctured affine line, non-abelian cohomology.
Fil: Chernousov, Vladimir. University of Alberta; Canadá
Fil: Gille, Philippe. Ecole Normale Supérieure; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Pianzola, Arturo. University of Alberta; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Materia
Torsor
Punctured line
Reductive group scheme
Galois cohomology
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:11336/198560
Acceder
id CONICETDig_ac326c6a7f9bb82068086636bcccc051
oai_identifier_str oai:ri.conicet.gov.ar:11336/198560
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Torsors over the punctured affine lineChernousov, VladimirGille, PhilippePianzola, ArturoTorsorPunctured lineReductive group schemeGalois cohomologyhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We provide a classification of G-torsors over the punctured affine line Spec (k[t ±1 ]) where G is a reductive algebraic group defined over a field k of good characteristic. Our classification is in terms of the Galois cohomology of the complete field k((t)) with values in G. Keywords: Linear algebraic group, group scheme, torsor, punctured affine line, non-abelian cohomology.Fil: Chernousov, Vladimir. University of Alberta; CanadáFil: Gille, Philippe. Ecole Normale Supérieure; Francia. Centre National de la Recherche Scientifique; FranciaFil: Pianzola, Arturo. University of Alberta; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaJohns Hopkins University Press2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/198560Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo; Torsors over the punctured affine line; Johns Hopkins University Press; American Journal Of Mathematics; 134; 6; 10-2012; 1541-15830002-93271080-6377CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://dialnet.unirioja.es/servlet/articulo?codigo=4093020info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:57:36Zoai:ri.conicet.gov.ar:11336/198560instacron: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:34982025-11-12 09:57:37.019CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Torsors over the punctured affine line
title Torsors over the punctured affine line
spellingShingle Torsors over the punctured affine line
Chernousov, Vladimir
Torsor
Punctured line
Reductive group scheme
Galois cohomology
title_short Torsors over the punctured affine line
title_full Torsors over the punctured affine line
title_fullStr Torsors over the punctured affine line
title_full_unstemmed Torsors over the punctured affine line
title_sort Torsors over the punctured affine line
dc.creator.none.fl_str_mv Chernousov, Vladimir
Gille, Philippe
Pianzola, Arturo
author Chernousov, Vladimir
author_facet Chernousov, Vladimir
Gille, Philippe
Pianzola, Arturo
author_role author
author2 Gille, Philippe
Pianzola, Arturo
author2_role author
author
dc.subject.none.fl_str_mv Torsor
Punctured line
Reductive group scheme
Galois cohomology
topic Torsor
Punctured line
Reductive group scheme
Galois cohomology
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 classification of G-torsors over the punctured affine line Spec (k[t ±1 ]) where G is a reductive algebraic group defined over a field k of good characteristic. Our classification is in terms of the Galois cohomology of the complete field k((t)) with values in G. Keywords: Linear algebraic group, group scheme, torsor, punctured affine line, non-abelian cohomology.
Fil: Chernousov, Vladimir. University of Alberta; Canadá
Fil: Gille, Philippe. Ecole Normale Supérieure; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Pianzola, Arturo. University of Alberta; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
description We provide a classification of G-torsors over the punctured affine line Spec (k[t ±1 ]) where G is a reductive algebraic group defined over a field k of good characteristic. Our classification is in terms of the Galois cohomology of the complete field k((t)) with values in G. Keywords: Linear algebraic group, group scheme, torsor, punctured affine line, non-abelian cohomology.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
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/11336/198560
Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo; Torsors over the punctured affine line; Johns Hopkins University Press; American Journal Of Mathematics; 134; 6; 10-2012; 1541-1583
0002-9327
1080-6377
CONICET Digital
CONICET
url http://hdl.handle.net/11336/198560
identifier_str_mv Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo; Torsors over the punctured affine line; Johns Hopkins University Press; American Journal Of Mathematics; 134; 6; 10-2012; 1541-1583
0002-9327
1080-6377
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://dialnet.unirioja.es/servlet/articulo?codigo=4093020
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
dc.publisher.none.fl_str_mv Johns Hopkins University Press
publisher.none.fl_str_mv Johns Hopkins University Press
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_ 1848598377024978944
score 12.976206

Publicaciones similares