3 papers
math.AG2026
Some lower bounds for the maximal number of A-singularities in algebraic surfaces. II
Juan García Escudero
Algebraic surfaces in the complex projective space with a large number of A-type singularities have been presented in a recent paper. We extend the construction in order to obtain…
math.AG2025
Some lower bounds for the maximal number of A-singularities in algebraic surfaces
Juan García Escudero
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 fa…
math-ph2025
Special curves and Hamiltonian systems from polynomial eigenfunctions of an elliptic operator
Juan García Escudero
A family of polynomials linked to the set of the deltoid tangents and its associated algebraic hypersurfaces has been presented in recent years. In this paper we study some related…