The jump of the Milnor number in the X₉ singularity class
classification
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keywords
milnorsingularityclassjumpnumberdeformationsdifferenceequal
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The jump of the Milnor number of an isolated singularity $f_0$ is the minimal non-zero difference between the Milnor numbers of $f_0$ and one of its deformations $(f_s)).$ We prove that for the singularities in the $X_9$ singularity class their jumps are equal to 2.
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