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arXiv · 1409.3419

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

Maria Michalska·Justyna Walewska
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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 $\mu(f)$ to $\mu(f)-r(p-r)$, where $r$ and $p$ are easily computed from the Newton diagram of $f$.

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Maria Michalska, Justyna Walewska. 2014-09-11. Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities. https://arxiv.org/abs/1409.3419

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