2 citations · 2 across the 4 of their papers we have counts for
4 papers
Khovanskii bases for semimixed systems of polynomial equations -- a case of approximating stationary nonlinear Newtonian dynamics
Viktoriia Borovik, Paul Breiding, Javier del Pino +2
We provide an approach to counting roots of polynomial systems, where each polynomial is a general linear combination of prescribed, fixed polynomials. Our tools rely on the theory…
A short proof for the parameter continuation theorem
Viktoriia Borovik, Paul Breiding
The Parameter Continuation Theorem is the theoretical foundation for polynomial homotopy continuation, which is one of the main tools in computational algebraic geometry. In this n…
On orbits of automorphism groups on horospherical varieties
Viktoriia Borovik, Sergey Gaifullin, Anton Shafarevich
In this paper we describe orbits of automorphism group on a horospherical variety in terms of degrees of homogeneous with respect to natural grading locally nilpotent derivations.…
Commutative actions on smooth projective quadrics
Viktoriia Borovik, Sergey Gaifullin, Anton Trushin
By a commutative action on a smooth quadric in we mean an effective action of a commutative connected algebraic group on with an open orbit. We show that for…