A classification of torsors over Laurent polynomial rings

Chernousov, Vladimir; Gille, Philippe; Pianzola, Arturo

info:eu-repo/semantics/article

Fecha

2017-04

Registro en:

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

0010-2571

http://hdl.handle.net/11336/72666

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4361993

Autor

Chernousov, Vladimir

Gille, Philippe

Pianzola, Arturo

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

MULTILOOP ALGEBRA

REDUCTIVE GROUP SCHEME

TORSOR

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