3 papers
math.AG2021
On facets of the Newton polytope for the discriminant of the polynomial system
Irina Antipova, Ekaterina Kleshkova
We study normal directions to facets of the Newton polytope of the discriminant of the Laurent polynomial system via the tropical approach. We use the combinatorial construction pr…
math.CV2019
Analytic continuation for solutions to the system of trinomial algebraic equations
Irina Antipova, Ekaterina Kleshkova, Vladimir Kulikov
In the paper, we deal with the problem of getting analytic continuations for the monomial function associated with a solution to the reduced trinomial algebraic system. In particul…
math.CV2016
On the Structure of the Bochner-Martinelli Residue Currents
Irina Antipova
We study residue currents of the Bochner--Martinelli type using their relationship with Mellin transforms of residue integrals. We present the structure formula for residue current…