Loop torsors and Abhyankar's lemma
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914603252842496 |
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| author | Gille, Philippe |
| author_facet | Gille, Philippe |
| contents | We define the notion of loop torsors under certain group schemes defined over the localization of a regular henselian ring A at a strict normal crossing divisor D. We provide a Galois cohomological criterion for classifying those torsors. We revisit also the related theory of loop torsors on Laurent polynomial rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loop torsors and Abhyankar's lemma Gille, Philippe Algebraic Geometry Rings and Algebras We define the notion of loop torsors under certain group schemes defined over the localization of a regular henselian ring A at a strict normal crossing divisor D. We provide a Galois cohomological criterion for classifying those torsors. We revisit also the related theory of loop torsors on Laurent polynomial rings. |
| title | Loop torsors and Abhyankar's lemma |
| topic | Algebraic Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2406.16435 |