On a theorem of Harder
Algebraic Geometry
2025-02-27 v1
Abstract
We prove that for any simply connected isotropic reductive group G over a Dedekind domain D, any Zariski-locally trivial principal G-bundle over D is trivial. The corresponding result for quasi-split groups was proved in 1967 by G. Harder.
Keywords
Cite
@article{arxiv.2502.19223,
title = {On a theorem of Harder},
author = {Ivan Panin and Anastasia Stavrova},
journal= {arXiv preprint arXiv:2502.19223},
year = {2025}
}