2015/10/19 by Vladimir Chernousov, Chernousov, Vladimir, Philippe Gille +3
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.1510.05621
18 pages
arxiv created 2015/10/19 · arxiv updated 2015/10/20
Let R_n be the ring of Laurent polynomials in n variables over a field k of characteristic zero and let K_n be its fraction field.Given a linear algebraic k-group G, we show that a K_n-torsor under G which is unramified with respect to X=Spec(R_n)extends to a unique toral R_n-torsor under G. This result, in turn, allows us to classify all G-torsors over R_n.