2 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…