22 citations · 53 across the 17 of their papers we have counts for
5 papers · 2 filters
Multiplicity-free subvarieties of flag varieties
Michel Brion
Consider a flag variety over an algebraically closed field, and a subvariety whose cycle class is a multiplicity-free sum of Schubert cycles. We show that is arithmeti…
The cone of effective one-cycles of certain G-varieties
Michel Brion
Let X be a normal projective variety admitting an action of a semisimple group with a unique closed orbit. We construct finitely many rational curves in X, all having a common poin…
The equivariant cohomology ring of regular varieties
Michel Brion, James B. Carrell
Let denote the upper triangular subgroup of , its diagonal torus and its unipotent radical. A complex projective variety endowed with an algebraic action o…
Stable reductive varieties II: Projective case
Valery Alexeev, Michel Brion
We construct a moduli space of stable projective pairs with a nontrivial action of a connected reductive group. These stable reductive pairs are higher-dimensional analogs of stabl…
Stable reductive varieties I: Affine varieties
Valery Alexeev, Michel Brion
The motivation of this work is to construct an analog of compactified moduli of abelian varieties and toric pairs in the case of non-commutative algebraic group G. We introduce a c…