The jump of the Milnor number in the X_9 singularity class

Szymon Brzostowski; Tadeusz Krasinski

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arXiv · 1301.1168

The jump of the Milnor number in the X_9 singularity class

Szymon Brzostowski·Tadeusz Krasinski

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Abstract

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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Szymon Brzostowski, Tadeusz Krasinski. 2013-01-07. The jump of the Milnor number in the X_9 singularity class. https://arxiv.org/abs/1301.1168

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