Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities II
Maria Michalska, Justyna Walewska
TL;DR
This paper characterizes the possible Milnor numbers arising from deformations of semi-quasi-homogeneous plane curve singularities, providing a comprehensive list of attainable Milnor numbers for such singularities.
Contribution
It explicitly determines the set of Milnor numbers that can occur in deformations of semi-quasi-homogeneous isolated plane curve singularities.
Findings
List of attainable Milnor numbers for given singularities
Complete characterization of Milnor number deformations
Theorem 1.1 provides explicit enumeration
Abstract
We show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularities. In Theorem 1.1 we list integers can be attained as Milnor numbers of a given semi-quasi-homogeneous singularity.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation