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

TL;DR

This paper extends previous constructions of algebraic surfaces to establish new lower bounds on the maximum number of A-type singularities they can have.

Contribution

It introduces an extended construction method to determine lower bounds for A-singularities in algebraic surfaces beyond previous cases.

Findings

Established new lower bounds for A-singularities in algebraic surfaces.

Extended previous constructions to additional cases.

Provided explicit examples of surfaces with many A-singularities.

Abstract

Algebraic surfaces in the complex projective space with a high number of A-type singularities have been presented in a recent paper. We extend the construction in order to obtain lower bounds for the maximal number of A singularities for certain additional cases.