57 citations · 259 across the 43 of their papers we have counts for
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math.AG2010★ 7 cited
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…
math.AG2010
Convex bodies associated to actions of reductive groups
Kiumars Kaveh, Askold G. Khovanskii
We associate convex bodies to a wide class of graded G-algebras where G is a connected reductive group. These convex bodies give information about the Hilbert function as well as m…