Bivariate systems of polynomial equations with roots of high multiplicity
I Nikitin - Journal of Algebra and Its Applications, 2023 - World Scientific
Given a bivariate system of polynomial equations with fixed support sets A, B it is natural to
ask which multiplicities its solutions can have. We prove that there exists a system with a …
ask which multiplicities its solutions can have. We prove that there exists a system with a …
Sparse curve singularities, singular loci of resultants, and Vandermonde matrices
A Esterov, E Statnik, A Voorhaar - arXiv preprint arXiv:2301.07001, 2023 - arxiv.org
We compute the $\delta $-invariant of a curve singularity parameterized by generic sparse
polynomials. We apply this to describe topological types of generic singularities of sparse …
polynomials. We apply this to describe topological types of generic singularities of sparse …
[PDF][PDF] ITERATED DISCRIMINANTS AND SINGULAR INTERSECTIONS OF HYPERSURFACES
A DICKENSTEIN - XVI - anc-argentina.org.ar
It is well known that two generic quadric surfaces intersect in a nonsingular quartic space
curve, but when the intersection is not transverse this curve may degenerate to a finite …
curve, but when the intersection is not transverse this curve may degenerate to a finite …