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math.AG2023
Sparse curve singularities, singular loci of resultants, and Vandermonde matrices
Alexander Esterov, Evgeny Statnik, Arina Voorhaar
We compute the -invariant of a curve singularity parameterized by generic sparse polynomials. We apply this to describe topological types of generic singularities of sparse resu…
math.AG2021
The Newton Polytope of the Morse Discriminant of a Univariate Polynomial
Arina Voorhaar
In this paper we compute the Newton polytope of the Morse discriminant in the space of univariate polynomials with the given support set Namely, we establish a…
math.AG2019
On the Singular Locus of a Plane Projection of a Complete Intersection
Arina Voorhaar
In this paper, we compute the number of self-intersections of a plane projection of a generic complete intersection curve defined by polynomials with the given support. Moreover, w…