Milnor numbers in deformations of homogeneous singularities
classification
🧮 math.AG
keywords
deformationsnumberssingularitiescasehomogeneousmilnorcompletelycurve
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Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous singularities f_0 in the case of non-degenerate deformations and obtain some partial results on this set in the general case.
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