Loop torsors. Theory and applications
Algebraic Geometry
2024-12-11 v1 Rings and Algebras
Abstract
Loop torsors over Laurent polynomial rings in characteristic 0 were originally introduced in relation to infinite dimensional Lie theory. Applications to other areas require a theory that can yields results in positive characteristic, and for group schemes that are not of finite type. The relation between loop and so-called toral torsors, is one of the central questions in the area. The present paper addresses this question in full generality.
Keywords
Cite
@article{arxiv.2412.07294,
title = {Loop torsors. Theory and applications},
author = {Philippe Gille and Vladimir Chernousov and Arturo Pianzola},
journal= {arXiv preprint arXiv:2412.07294},
year = {2024}
}