The jump of the Milnor number in the X₉ singularity class

2013/01/07 by Szymon Brzostowski, Brzostowski, Szymon, Tadeusz Krasiński +1
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1301.1168

Abstract

The jump of the Milnor number of an isolated singularity f₀ is the minimal non-zero difference between the Milnor numbers of f₀ and one of its deformations (f_s)). We prove that for the singularities in the X₉ singularity class their jumps are equal to 2.

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