Loop torsors and Abhyankar's lemma
Algebraic Geometry
2026-05-27 v5 Rings and Algebras
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.
Cite
@article{arxiv.2406.16435,
title = {Loop torsors and Abhyankar's lemma},
author = {Philippe Gille},
journal= {arXiv preprint arXiv:2406.16435},
year = {2026}
}