Some Classes of Line Singularities.

Theo de Jong

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The jump of the Milnor number in the X 9 singularity class

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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.