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A classification of torsors over Laurent polynomial rings
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 $G$, 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.
Cited literature [21 references]
https://hal.archives-ouvertes.fr/hal-01217408
Contributor : Philippe Gille Connect in order to contact the contributor
Submitted on : Monday, October 19, 2015 - 3:31:33 PM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Thursday, April 27, 2017 - 6:50:15 AM
Contributor : Philippe Gille Connect in order to contact the contributor
Submitted on : Monday, October 19, 2015 - 3:31:33 PM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Thursday, April 27, 2017 - 6:50:15 AM
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