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Mathematics  2015 

Non-degenerate jump of Milnor numbers of surface singularities

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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 give a formula for the jump in some class of surface singularities in the case deformations are non-degenerate.

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