A classification of torsors over Laurent polynomial rings
Rings and Algebras
2015-10-20 v1
Abstract
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 , 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.
Keywords
Cite
@article{arxiv.1510.05621,
title = {A classification of torsors over Laurent polynomial rings},
author = {Vladimir Chernousov and Philippe Gille and Arturo Pianzola},
journal= {arXiv preprint arXiv:1510.05621},
year = {2015}
}
Comments
18 pages