2 citations · 2 across the 5 of their papers we have counts for
7 papers
Jumps of Milnor numbers of Brieskorn-Pham singularities in non-degenerate families
Tadeusz Krasiński, Justyna Walewska
The jump of the Milnor number of an isolated singularity is the minimal non-zero difference between the Milnor numbers of and one of its deformation In t…
A short proof that equisingular plane curve singularities are topologically equivalent
Szymon Brzostowski, Tadeusz Krasiński, Justyna Walewska
We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P.~Fortuny~Ayuso's who proved this result for irr…
Arnold's problem on monotonicity of the Newton number for surface singularities
Szymon Brzostowski, Tadeusz Krasiński, Justyna Walewska
According to the Kouchnirenko theorem, for a generic (precisely non-degenerate in the Kouchnirenko sense) isolated singularity its Milnor number is equal to the Newton n…
Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities II
Maria Michalska, Justyna Walewska
We show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularities. In Theorem 1.1 we list integers can be attained as Milnor numbers…
Non-degenerate jump of Milnor numbers of surface singularities
Szymon Brzostowski, Tadeusz Krasiński, Justyna Walewska
The jump of the Milnor number of an isolated singularity is the minimal non-zero difference between the Milnor numbers of and one of its deformations . We give a…
Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities
Maria Michalska, Justyna Walewska
The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularities. Main result states that if is irreduc…
Milnor numbers in deformations of homogeneous singularities
Szymon Brzostowski, Tadeusz Krasinski, Justyna Walewska
Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous sin…