A classification of torsors over Laurent polynomial rings
Vladimir Chernousov
University of Alberta, Edmonton, CanadaPhilippe Gille
Université Claude Bernard Lyon 1, FranceArturo Pianzola
University of Alberta, Edmonton, Canada
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Abstract
Let be the ring of Laurent polynomials in variables over a field of characteristic zero and let be its fraction field. Given a linear algebraic -group , we show that a -torsor under which is unramified with respect to = Spec extends to a unique toral -torsor under . This result, in turn, allows us to classify all -torsors over .
Cite this article
Vladimir Chernousov, Philippe Gille, Arturo Pianzola, A classification of torsors over Laurent polynomial rings. Comment. Math. Helv. 92 (2017), no. 1, pp. 37–55
DOI 10.4171/CMH/405