Trivializing Torsors for Difference Algebraic Groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912608199639040 |
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| author | Bachmayr, Annette Wibmer, Michael |
| author_facet | Bachmayr, Annette Wibmer, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trivializing Torsors for Difference Algebraic Groups Bachmayr, Annette Wibmer, Michael Algebraic Geometry 14L15, 14L17, 12H05 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. |
| title | Trivializing Torsors for Difference Algebraic Groups |
| topic | Algebraic Geometry 14L15, 14L17, 12H05 |
| url | https://arxiv.org/abs/2509.22095 |