53 citations · 507 across the 55 of their papers we have counts for
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On inductive construction of Procesi bundles
Ivan Losev
A Procesi bundle, a rank vector bundle on the Hilbert scheme of points in , was first constructed by Mark Haiman in his proof of the theorem by us…
On Procesi bundles
Ivan Losev
Procesi bundles are certain vector bundles on symplectic resolutions of symplectic quotient singularities for wreath-products of the symmetric groups with Kleinian groups. Roughly…
Uniqueness properties for spherical varieties
Ivan Losev
The goal of these lectures is to explain speaker's results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special cl…
Computation of weight lattices of G-varieties
Ivan V. Losev
Let G be a connected reductive group. To any irreducible G-variety one assigns the lattice generated by all weights of B-semiinvariant rational functions on X, where B$ is a Borel…
Demazure embeddings are smooth
Ivan V. Losev
We prove Brion's conjecture stating that the closure of the orbit of a self-normalizing spherical subalgebra in the corresponding Grassmanian is smooth
Uniqueness property for spherical homogeneous spaces
Ivan V. Losev
Let G be a connected reductive group. Recall that a G-variety X is called spherical if X is normal and a Borel subgroup of G has an open orbit on X. To a spherical homogeneous G-sp…