12 citations · 38 across the 17 of their papers we have counts for
3 papers · 1 filter
Loop torsors. Theory and applications
Philippe Gille, Vladimir Chernousov, Arturo Pianzola
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 theo…
Reduction of structure for torsors over semilocal rings
V. Chernousov, Ph. Gille, Z. Reichstein
Let G be a reductive affine group scheme defined over a semilocal ring k. Assume that either G is semisimple or k is normal and noetherian. We show that G has a finite k-subgroup S…
Resolving G-torsors by abelian base extensions
V. Chernousov, Ph. Gille, Z. Reichstein
Let G be a linear algebraic group defined over a field k. We prove that, under mild assumptions on k and G, there exists a finite k-subgroup S of G such that the natural map H^1(K,…