3 papers
math.AG2025
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…
math.AG2025
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…
math.AG2025
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…