Hilbert schemes of points on fold-like curves and their combinatorics
Algebraic Geometry
2025-11-06 v1
Abstract
We investigate the Hilbert scheme of points on curves with n-fold singularities, that is curves that look locally around their singular points as the axis in an affine space. We describe the structure and number of its irreducible components, and provide a detailed analysis of their singularities, revealing rich combinatorial patterns governing its geometry.
Keywords
Cite
@article{arxiv.2511.03454,
title = {Hilbert schemes of points on fold-like curves and their combinatorics},
author = {Ángel David Ríos Ortiz and Javier Sendra-Arranz},
journal= {arXiv preprint arXiv:2511.03454},
year = {2025}
}