Trivializing torsors for difference algebraic groups

Canadian Journal of Mathematics, pp. 1–46

Abstract

Abstract We study torsors for groups defined by algebraic difference equations. Our main result provides necessary and sufficient conditions on the base difference field for all such torsors to be trivial. We also present an application to the uniqueness of difference Picard–Vessiot extensions for linear differential equations.

Authors 2

1. Annette Bachmayr Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

2. Michael Wibmer

   University of Leeds

   Affiliation as printed

   University of Leeds