22 citations · 33 across the 3 of their papers we have counts for
3 papers
math.AG2005
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…
math.AG2004★ 11 cited
Classification of log del Pezzo surfaces of index
Valery Alexeev, Viacheslav V. Nikulin
This is an expanded version of our work [AN88], 1988, in Russian. We classify del Pezzo surfaces over C with log terminal singularities of index \le 2. By classification, we unders…
math.AG2004★ 22 cited
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…