The Milnor Number and Deformations of Complex Curve Singularities.
Gert-Martin Greuel, Ragnar Buchweitz (1980)
Inventiones mathematicae
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Gert-Martin Greuel, Ragnar Buchweitz (1980)
Inventiones mathematicae
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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.