Generically isotropic reductive group schemes are locally isotropic
Algebraic Geometry
2023-04-12 v2
Abstract
Let be a semilocal geometrically factorial Noetherian domain of characteristic zero. We show that a reductive -group scheme is isotropic if it is generically isotropic. We derive various consequences, in particular for the Grothenieck-Serre conjecture and for homotopic invariance of torsors.
Cite
@article{arxiv.2303.05853,
title = {Generically isotropic reductive group schemes are locally isotropic},
author = {Roman Fedorov},
journal= {arXiv preprint arXiv:2303.05853},
year = {2023}
}
Comments
Existence part of Proposition 3.13 is incorrect invalidating the argument. I am looking for a remedy