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arxiv: 1409.3419 · v2 · pith:DFFLSAROnew · submitted 2014-09-11 · 🧮 math.AG

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

classification 🧮 math.AG
keywords milnornumberscurvedeformationsplanesemi-quasi-homogeneoussingularitiesattain
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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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