The second jump of Milnor numbers

• Autorzy: Walewska J.
• Języki publikacji: EN

Abstrakty

EN

Let f0 be a plane curve singularity. Let (...) be all possible Milnor numbers of non-degenerate deformations of f0 (in decreasing order). We prove that (...) for f0 with one segment Newton polygon ((...) is given by the Bodin formula).

Słowa kluczowe

EN

deformation of singularity; Milnor number; Newton polygon; non-degenerate singularity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 361--374
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Walewska J.

• Faculty of Mathematics and Computer Science University of Łódź S. Banacha 22 90-238 Łódź, Poland,

Bibliografia

• [1] A. Bodin, Jump of Milnor numbers, preprint arXiv:math. AG/0502052 v2, 2005.
• [2] G.-M. Greuel, C. Lossen, E. Shustin, Introduction to Singularities and Deformations, Springer, 2007.
• [3] S. Gusein-Zade, On singularities from which an A1 can be split off , Funct. Anal. Appl. 27 (1993), 57–59 (in Russian).
• [4] A. Kouchnirenko, Polyédres de Newton et nombres de Milnor, Invent. Math. 32 (1976), 1–31.
• [5] A. Lenarcik, On the Łojasiewicz exponent of the gradient of a holomorphic function, Thesis, 1996 (in Polish).
• [6] A. Płoski, Puiseux series, Newton diagrams and holomorphic mappings of C2, Proceedings of the X Workshop on the Theory of Extremal Problems, 1989 (in Polish).
• [7] M. J. Saia, Pre-weighted homogeneous map germs finite determinancy and topological triviality, Nagoya Math. J. 151 (1998), 209–220.
• [8] J. C. Tougeron, Idéaux de Fonctions Différentiables, Springer, 1972.