53 citations · 125 across the 28 of their papers we have counts for
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math.AG2022
Total order compatible with addition on commutative semigroups
Askold Khovanskii
In the paper, we describe all total orders compatible with addition on additive subsemigroup of finite dimensional spaces over rational numbers. We provide a necessary…
math.AT2022
Generalized virtual polytopes and quasitoric manifolds
Askold Khovanskii, Ivan Limonchenko, Leonid Monin
In this paper we develop a theory of volume polynomials of generalized virtual polytopes based on the study of topology of affine subspace arrangements in a real Euclidean space. W…
math.CA2022★ 2 cited
Interpolation Polynomials and Linear Algebra
Askold Khovanskii, Sushil Singla, Aaron Tronsgard
We reconsider the theory of Lagrange interpolation polynomials with multiple interpolation points and apply it to linear algebra. For instance, be a linear operator satisfying…