1 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 2 filters
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…
Group schemes over LG-rings and applications to cancellation theorems and Azumaya algebras
Philippe Gille, Erhard Neher
We prove several results on reductive group schemes over LG-rings, e.g., existence of maximal tori and conjugacy of parabolic subgroups. These were proven in SGA3 for the special c…
Local-global principle for over semiglobal fields
Philippe Gille, Raman Parimala
We compare different local-global principles for torsors under a reductive group G defined over a semiglobal field F. In particular if the F-group G s a retract rational F-variety,…
Loop torsors and Abhyankar's lemma
Philippe Gille
We define the notion of loop torsors under certain group schemes defined over the localization of a regular henselian ring A at a strict normal crossing divisor D. We provide a Gal…