7 citations · 21 across the 10 of their papers we have counts for
10 papers
Vector-valued Laurent polynomial equations, toric vector bundles and matroids
Kiumars Kaveh, Askold Khovanskii, Hunter Spink
Let be a finite dimensional subspace of vector-valued Laurent polynomials invariant under the action of torus…
Semigroups, Cartier divisors and convex bodies
Askold Khovanskii
The theory of Newton--Okounkov bodies provides direct relations and points out analogies between the theory of mixed volumes of convex bodies, on the one hand, and the intersection…
On solvability of linear differential equations in finite terms
Askold Khovanskii, Aaron Tronsgard
We consider the problem of solvability of linear differential equations over a differential field~. We introduce a class of special differential field extensions, which widely g…
Fibered toric varieties
Askold Khovanskii, Leonid Monin
A toric variety is called fibered if it can be represented as a total space of fibre bundle over toric base and with toric fiber. Fibered toric varieties form a special case of tor…
On mixed multiplicities of ideals
Kiumars Kaveh, A. G. Khovanskii
Let R be the local ring of a point on a variety X over an algebraically closed field k. We make a connection between the notion of mixed (Samuel) multiplicity of m-primary ideals i…
Newton polytopes for horospherical spaces
Kiumars Kaveh, A. G. Khovanskii
A subgroup H of a reductive group G is horospherical if it contains a maximal unipotent subgroup. We describe the Grothendieck semigroup of invariant subspaces of regular functions…