Local triviality for G-torsors
Algebraic Geometry
2021-02-09 v5 Number Theory
Abstract
Let C Spec(R) be a relative proper flat curve over an henselian base. Let G be a reductive C-group scheme. Under mild technical assumptions, we show that a G-torsor over C which is trivial on the closed fiber of C is locally trivial for the Zariski topology.
Keywords
Cite
@article{arxiv.1901.04722,
title = {Local triviality for G-torsors},
author = {Philippe Gille and Raman Parimala and V. Suresh},
journal= {arXiv preprint arXiv:1901.04722},
year = {2021}
}