Some lower bounds for the maximal number of A-singularities in algebraic surfaces

2025/10/16 by Escudero, Juan García · 1 citation
#14J17 #14J70 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.14539

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.

Citations

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Cited by

• A dodecic surface with 320 cusps

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• Some lower bounds for the maximal number of A-singularities in algebraic surfaces. II
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