Zobrazeno 1 - 10
of 97
pro vyhledávání: '"KRASIŃSKI, TADEUSZ"'
The paper titled "Cremona problem in dimension 2" by W. Bartenwerfer presented a flawed attempt at proving the Jacobian Conjecture. Our aim is to provide a thorough analysis of the author's approach, highlighting the errors that were made in the proc
Externí odkaz:
http://arxiv.org/abs/2306.03996
We prove the constancy of the {\L}ojasiewicz exponent in non-degenerate $\mu$-constant deformations of surface singularities. This is a positive answer to a question posed by B. Teissier.
Externí odkaz:
http://arxiv.org/abs/2103.08078
Autor:
Krasiński, Tadeusz, Walewska, Justyna
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 deformation $(f_{s}).$ In the case $f_{s}$ are non-degenerate singularities we call the jump non-
Externí odkaz:
http://arxiv.org/abs/1803.05324
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 irreducible plane curve singularities.
Comment: 11 pages, 8 figures
Comment: 11 pages, 8 figures
Externí odkaz:
http://arxiv.org/abs/1712.01559
According to the Kouchnirenko theorem, for a generic (precisely non-degenerate in the Kouchnirenko sense) isolated singularity $f$ its Milnor number $\mu (f)$ is equal to the Newton number $\nu (\Gamma_{+}(f))$ of a combinatorial object associated to
Externí odkaz:
http://arxiv.org/abs/1705.00323
Publikováno v:
In Bulletin des sciences mathématiques May 2021 168
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 give a formula for the jump in some class of surface singularities in the ca
Externí odkaz:
http://arxiv.org/abs/1508.02704
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 singularities f_0 in the case of non-degenerate deformations and obtain s
Externí odkaz:
http://arxiv.org/abs/1404.7704
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
Externí odkaz:
http://arxiv.org/abs/1301.1168