A classification of torsors over Laurent polynomial rings

dc.creatorChernousov, Vladimir
dc.creatorGille, Philippe
dc.creatorPianzola, Arturo
dc.date.accessioned2019-03-27T18:23:34Z
dc.date.accessioned2022-10-15T07:46:14Z
dc.date.available2019-03-27T18:23:34Z
dc.date.available2022-10-15T07:46:14Z
dc.date.created2019-03-27T18:23:34Z
dc.date.issued2017-04
dc.identifierChernousov, Vladimir; Gille, Philippe; Pianzola, Arturo; A classification of torsors over Laurent polynomial rings; European Mathematical Society; Commentarii Mathematici Helvetici; 92; 1; 4-2017; 37-55
dc.identifier0010-2571
dc.identifierhttp://hdl.handle.net/11336/72666
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4361993
dc.description.abstractLetRn be the ring of Laurent polynomials in n variables over a field k of characteristic zero and letKn be its fraction field. Given a linear algebraic κ-groupG,we showthat aKn-torsor under G which is unramified with respect to X D Spec.Rn/extends to a unique toral Rn-torsor under G. This result, in turn, allows us to classify all G-torsors over Rn.
dc.languageeng
dc.publisherEuropean Mathematical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/doi/10.4171/CMH/405
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4171/CMH/405
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectMULTILOOP ALGEBRA
dc.subjectREDUCTIVE GROUP SCHEME
dc.subjectTORSOR
dc.titleA classification of torsors over Laurent polynomial rings
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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