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dc.contributor.author
Chernousov, Vladimir  
dc.contributor.author
Gille, Philippe  
dc.contributor.author
Pianzola, Arturo  
dc.date.available
2019-03-27T18:23:34Z  
dc.date.issued
2017-04  
dc.identifier.citation
Chernousov, 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.identifier.issn
0010-2571  
dc.identifier.uri
http://hdl.handle.net/11336/72666  
dc.description.abstract
LetRn 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.format
application/pdf  
dc.language.iso
eng  
dc.publisher
European Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Multiloop Algebra  
dc.subject
Reductive Group Scheme  
dc.subject
Torsor  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A classification of torsors over Laurent polynomial rings  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-03-26T13:59:38Z  
dc.journal.volume
92  
dc.journal.number
1  
dc.journal.pagination
37-55  
dc.journal.pais
Suiza  
dc.journal.ciudad
Zürich  
dc.description.fil
Fil: Chernousov, Vladimir. University of Alberta; Canadá  
dc.description.fil
Fil: Gille, Philippe. Université Claude Bernard Lyon 1; Francia  
dc.description.fil
Fil: Pianzola, Arturo. Universidad Centro de Altos Estudios en Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Commentarii Mathematici Helvetici  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/doi/10.4171/CMH/405  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4171/CMH/405  

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