22 citations · 48 across the 8 of their papers we have counts for
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math.DG2003
On K-Stability of Reductive Varieties
Valery Alexeev, Ludmil Katzarkov
G. Tian and S.K. Donaldson formulated a conjecture relating GIT stability of a polarized algebraic variety to the existence of a Kahler metric of constant scalar curvature. In [Don…
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…