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arXiv · 2406.16435

Loop torsors and Abhyankar's lemma

Philippe Gille
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Abstract

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.

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Philippe Gille. 2024-06-24. Loop torsors and Abhyankar's lemma. https://arxiv.org/abs/2406.16435

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