Singular loci of sparse resultants
Evgeny Statnik
TL;DR
This paper investigates the singularity structure of the sparse resultant for two univariate polynomials and applies these findings to estimate singularities in projections of generic spatial curves.
Contribution
It provides new insights into the singularity loci of sparse resultants and their application to algebraic geometry problems involving spatial curves.
Findings
Characterization of the singularity locus of sparse resultants.
Application to estimating singularities of spatial complete intersection curves.
Enhanced understanding of polynomial resultants in algebraic geometry.
Abstract
We study the singularity locus of the sparse resultant of two univariate polynomials, and apply our results to estimate singularities of a coordinate projection of a generic spatial complete intersection curve.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Algebraic Geometry and Number Theory