Trivializing Torsors for Difference Algebraic Groups

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.

Publication Details

Journal
ArXiv.org
Published
2025-09-26
Primary Topic
Silkworms and Sericulture Research
Type
article
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article

Trivializing Torsors for Difference Algebraic Groups

ArXiv.org
Silkworms and Sericulture Research
article

Trivializing Torsors for Difference Algebraic Groups

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 42%
Silkworms and Sericulture Research
Open Access PDFOpenAlex
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Trivializing Torsors for Difference Algebraic Groups · ArXiv.org (2025) | TGRS Research Map | TGRS