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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0351-4,
author = {Szymon Brzostowski and Tadeusz Krasi\'nski},
title = {The jump of the Milnor number in the X 9 singularity class},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {429-435},
zbl = {1286.32014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0351-4}
}
Szymon Brzostowski; Tadeusz Krasiński. The jump of the Milnor number in the X 9 singularity class. Open Mathematics, Tome 12 (2014) pp. 429-435. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0351-4/
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