Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities

Abstract

The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularities. Main result states that if f is irreducible and nondegenerate, by deforming f one can attain all Milnor numbers ranging from μ(f) to μ(f)-r(p-r), where r and p are easily computed from the Newton diagram of f.

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