22 citations · 48 across the 14 of their papers we have counts for
24 papers
Stable spherical varieties and their moduli
Valery Alexeev, Michel Brion
We introduce a notion of stable spherical variety which includes the spherical varieties under a reductive group and their flat equivariant degenerations. Given any projective…
Vanishing of top equivariant Chern classes of regular embeddings
Michel Brion, Ivan Kausz
Let be a connected affine algebraic group and a regular -variety (in the sense of Bifet-De Concini-Procesi) with open orbit and boundary divisor . We show the v…
Lectures on the geometry of flag varieties
Michel Brion
These notes are the written version of my lectures at the Banach Center mini-school "Schubert Varieties" in Warsaw, May 18-22, 2003. Their aim is to give a self-contained expositio…
Construction of equivariant vector bundles
Michel Brion
Let be the wonderful compactification of a complex adjoint symmetric space such that . We show how to extend equivariant vector bundles on to e…
F-regularity of large Schubert varieties
Michel Brion, Jesper Funch Thomsen
Let G denote a connected reductive algebraic group over an algebraically closed field k and let X denote a projective G x G-equivariant embedding of G. The large Schubert varieties…
Toric degenerations of spherical varieties
Valery Alexeev, Michel Brion
We prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric variety. Motivated by Mirror Symm…