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arxiv: 2406.16435 · v5 · pith:WG5BHTEPnew · submitted 2024-06-24 · 🧮 math.AG · math.RA

Loop torsors and Abhyankar's lemma

classification 🧮 math.AG math.RA
keywords torsorsloopabhyankarcertainclassifyingcohomologicalcriterioncrossing
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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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