53 citations · 125 across the 28 of their papers we have counts for
5 papers · 1 filter
Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space
Kiumars Kaveh, Askold G. Khovanskii
We prove a version of the BKK theorem for the ring of conditions of a spherical homogeneous space . We also introduce the notion of ring of complete intersections, firstly for…
Comments on J. F. Ritt's book "Integration in Finite Terms"
Askold Khovanskii
The First and Second Liouville's Theorems provide correspondingly criterium for integrability of elementary functions "in finite terms" and criterium for solvability of second orde…
Multidimensional topological Galois theory
Askold Khovanskii
In this preprint we present an outline of the multidimensional version of topological Galois theory. The theory studies topological obstruction to solvability of equations "in fini…
On Representability of Algebraic Functions by Radicals
Askold Khovanskii
This preprint is dedicated to a self contained simple proof of the classical criteria for representability of algebraic functions of several complex variables by radicals. It also…
One dimensional topological Galois theory
Askold Khovanskii
In the preprint we present an outline of the one dimensional version of topological Galois theory. The theory studies topological obstruction to solvability of equations "in finite…