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.

中文翻译：

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奇异奇异变形中的米尔诺数

让 $F_0$是平面曲线奇点。我们研究了变形中奇异点的次要数$F_0$。我们完全描述了这些Milnor数的集合，以获得齐次奇异点$F_0$ 在非简并变形的情况下，在一般情况下对此集合可获得一些部分结果。