Local triviality for G-torsors

Abstract

Let C $\to$ 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.

References in corpus (2)

• Applications of patching to quadratic forms and central simple algebras
• The Grothendieck-Serre Conjecture over Semilocal Dedekind Rings