The jump of the Milnor number of quasihomogeneous singularities for linear deformations

Aleksandra Zakrzewska

Journal of Singularities
volume 28 (2025), 23-38

Received: 1 July 2024. In revised form: 19 December 2024

DOI: 10.5427/jsing.2025.28b


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 determinate the jump of quasihomogeneous singularities in the class of linear deformations.


Author(s) information:

Aleksandra Zakrzewska
Faculty of Mathematics and Computer Science
University of Lodz
ul. Banacha 22
90-238 Lodz, Poland
email: aleksandra.zakrzewska@wmii.uni.lodz.pl