53 citations · 125 across the 28 of their papers we have counts for
31 papers
Center of Mass Technique and Affine Geometry
Askold Khovanskii
The notion of center of mass, which is very useful in kinematics, proves to be very handy in geometry (see [1]-[2]). Countless applications of center of mass to geometry go back to…
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…
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…
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…
Gorenstein algebras and toric bundles
Askold Khovanskii, Leonid Monin
We study commutative algebras with Gorenstein duality, i.e. algebras equipped with a non-degenerate bilinear pairing such that for any…
Cohomology rings of toric bundles and the ring of conditions
Johannes Hofscheier, Askold Khovanskii, Leonid Monin
The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding system of Newton polytopes.Puk…