Szymon Brzostowski, Tadeusz Krasinski
Published 2013-01-07Version 1
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.
Homological index for 1-forms and a Milnor number for isolated singularities
Non-degenerate jump of Milnor numbers of surface singularities
The jump of the Milnor number of quasihomogeneous singularities for linear deformations
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