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math.AG2017
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…
math.AG2017
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…