34 citations · 43 across the 5 of their papers we have counts for
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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…
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…
Combinatorial invariants of algebraic Hamiltonian actions
Ivan V. Losev
To any Hamiltonian action of a reductive algebraic group on a smooth irreducible symplectic variety we associate certain combinatorial invariants: Cartan space, Weyl group,…
The Kempf-Ness theorem and Invariant Theory
Ivan V. Losev
We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.