10 citations · 32 across the 14 of their papers we have counts for
4 papers · 1 filter
On intersection cohomology with torus actions of complexity one
Marta Agustin Vicente, Kevin Langlois
The purpose of this article is to investigate the intersection cohomology for algebraic varieties with torus action. Given an algebraic torus , one of our result determ…
On the geometry of normal horospherical G-varieties of complexity one
Kevin Langlois, Ronan Terpereau
Let G be a connected simply-connected reductive algebraic group. In this article, we consider the normal algebraic varieties equipped with a horospherical G-action such that the qu…
Additive group actions on affine T-varieties of complexity one in arbitrary characteristic
Kevin Langlois, Alvaro Liendo
Let X be a normal affine T-variety of complexity at most one over a perfect field k, where T stands for the split algebraic torus. Our main result is a classification of additive g…
Demazure roots and spherical varieties: the example of horizontal SL(2)-actions
Kevin Langlois, Alexander Perepechko
Let be a connected reductive group, and let be an affine -spherical variety. We show that the classification of -actions on normalized by can be…