2 citations · 3 across the 3 of their papers we have counts for
4 papers
Vector fields, torus actions and equivariant cohomology
Jim Carrell, Kiumars Kaveh, Volker Puppe
An old result of the first author and David Lieberman says that if a compact Kaehler manifold X admits a holomorphic vector field V having at least one zero, then the Dolbeault coh…
SAGBI bases and Degeneration of Spherical Varieties to Toric Varieties
Kiumars Kaveh
Let X \subset Proj(V) be a projective spherical G-variety, where V is a finite dimensional G-module and G = SP(2n, C). In this paper, we show that X can be deformed, by a flat defo…
Fixed Points of Torus Action and Cohomology Ring of Toric Varieties
Kiumars Kaveh
Let X be a smooth simplicial toric variety. Let Z be the set of T-fixed points of X. We construct a filtration for A(Z), the ring of complex-valued functions on Z, such that Gr A(Z…
Morse theory and Euler characteristic of sections of spherical varieties
Kiumars Kaveh
A theorem due to D. Bernstein states that Euler characteristic of a hypersurface defined by a polynomial f in (C\{0})^n is equal (upto a sign) to n! times volume of the Newton poly…