On Thom Polynomials for $\mathcal{A}$-singularities of parametric curves and degeneracy loci formulas
Year: 2026
Type: preprint
Abstract: In this research article, we make an in-depth investigation of the computations for Thom Polynomials for $\mathcal{A}$-singularities of parametric curves germs in the plane and space cases using the framework established by Ohmoto and the Restriction Method introduced by Rimányi, and we also propose a geometric way for such computations using degeneracy loci Chern classes formulas proven by Fulton, which seems a promising way to generalize the Thom Polynomial expression for the stabilization of such singularities in $\mathbb{C}^N$, depending exclusively on $N$ as a parameter.
Source: arXiv (Cornell University)
Author: Pissolato, João Vítor
Institution: Universidade de São Paulo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224095914