Some lower bounds for the maximal number of A-singularities in algebraic surfaces
Algebraic Geometry
2025-10-17 v1
Abstract
We construct algebraic surfaces with a large number of type A singularities. Bivariate polynomials presented in previous works for the construction of nodal surfaces and certain families of Belyi polynomials are used. In some cases explicit expressions in terms of classical Jacobi polynomials are obtained.
Cite
@article{arxiv.2510.14539,
title = {Some lower bounds for the maximal number of A-singularities in algebraic surfaces},
author = {Juan García Escudero},
journal= {arXiv preprint arXiv:2510.14539},
year = {2025}
}
Comments
11 pages, 6 figures