Trivializing Torsors for Difference Algebraic Groups
Algebraic Geometry
2025-09-29 v1
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.
Cite
@article{arxiv.2509.22095,
title = {Trivializing Torsors for Difference Algebraic Groups},
author = {Annette Bachmayr and Michael Wibmer},
journal= {arXiv preprint arXiv:2509.22095},
year = {2025}
}
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33 pages