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algebraic surfaces 1A-type singularities 1complex projective space 1lower bounds 1singularities 1

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math.AG2026

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

Juan García Escudero, Juan García Escudero

The paper extends previous constructions of complex projective algebraic surfaces to provide new lower bounds on how many A‑type singularities such surfaces can have.

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…