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math.AG2003
Intersection Cohomology of reductive varieties
Michel Brion, Roy Joshua
We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmet…
math.AG2003★ 13 cited
Boundedness of spherical Fano varieties
Valery Alexeev, Michel Brion
We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. We also introduce an invariant of a spherical subgroup H in a…
math.AG2003
Moduli of affine schemes with reductive group action
Valery Alexeev, Michel Brion
For a connected reductive group G and a finite-dimensional G-module V, we study the invariant Hilbert scheme that parameterizes closed G-stable subschemes of V affording a fixed, m…