On deformation with constant Milnor number and Newton polyhedron

被引：6
作者：
Abderrahmane, Ould M. [1 ]
机构：
[1] Univ Sci Technol & Mdecine, Dept Math, BP 880, Nouakchott, Mauritania
来源：
MATHEMATISCHE ZEITSCHRIFT | 2016年 / 284卷 / 1-2期
基金：
日本学术振兴会;
关键词：
HYPERSURFACE SINGULARITIES; TOPOLOGICAL TRIVIALITY; MULTIPLICITY;
D O I：
10.1007/s00209-016-1650-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every -constant family of isolated hypersurface singularities satisfying a nondegeneracy condition in the sense of Kouchnirenko, is topologically trivial, also is equimultiple.
引用
收藏
页码：167 / 174
页数：8
相关论文
共 18 条
[1]   Stratification theory from the newton polyhedron point of view [J].
Abderrahmane, OM .
ANNALES DE L INSTITUT FOURIER, 2004, 54 (02) :235-+
[2]   EQUISINGULAR DEFORMATIONS OF ISOLATED TWO-DIMENSIONAL HYPERSURFACE SINGULARITIES [J].
ALTMANN, K .
INVENTIONES MATHEMATICAE, 1987, 88 (03) :619-634
[3]  
[Anonymous], 1973, Asterisque
[4]  
BEKKA K, 1991, LECT NOTES MATH, V1462, P42
[5]  
Briancon J., 1976, CR HEBD ACAD SCI, V280, P365
[6]   CONSTANT MILNOR NUMBER IMPLIES CONSTANT MULTIPLICITY FOR QUASI-HOMOGENEOUS SINGULARITIES [J].
GREUEL, GM .
MANUSCRIPTA MATHEMATICA, 1986, 56 (02) :159-166
[7]   NEWTON POLYHEDRA AND MILNOR NUMBERS [J].
KOUCHNIRENKO, AG .
INVENTIONES MATHEMATICAE, 1976, 32 (01) :1-31
[8]  
Laufer H.B., 1983, P S PURE MATH 2, V40, P28
[9]  
Le D. T., 1976, AM J MATH, V98, P67, DOI [10.2307/2373614. MR399088, DOI 10.2307/2373614.MR399088]
[10]  
Le D. T., 1973, CR ACAD SCI PARIS A, V272, P793
12