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8 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…
Numerically flat foliations and holomorphic Poisson geometry
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
We investigate the structure of smooth holomorphic foliations with numerically flat tangent bundles on compact Kähler manifolds. Extending earlier results on non-uniruled projectiv…
The geometry of quasisymmetric coinvariants
Philippe Nadeau, Hunter Spink, Vasu Tewari
We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials and divided difference…
Les squelettes accessibles d'un espace de Berkovich
Antoine Ducros, Amaury Thuillier
We define a class of skeletons on Berkovich analytic spaces, which we call "accessible", which contains the standard skeleton of the n-dimensional torus for every n and is preserve…
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,…