The semigroup of a space curve singularity

被引:6
作者
Castellanos, J [1 ]
机构
[1] Univ Complutense, Dept Algebra, Fac Matemat, E-28040 Madrid, Spain
关键词
curve singularities; numerical semigroups;
D O I
10.2140/pjm.2005.221.227
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The semigroup of values of a space curve singularity is an invariant of the singularity. We analyze the complexity of this invariant, in order to describe the geometric invariants of the sequence of infinitely near points of the curve necessary to determine the generators of the semigroup. We give several approaches and examples using Hamburger-Noether matrices to describe the infinitely near points of the curve.
引用
收藏
页码:227 / 251
页数:25
相关论文
共 21 条
[1]  
ABHYANKAR SS, 1973, J REINE ANGEW MATH, V260, P47
[2]  
ABHYANKAR SS, 1973, J REINE ANGEW MATH, V261, P29
[3]   Clusters of infinitely near points [J].
Campillo, A ;
GonzalezSprinberg, G ;
LejeuneJalabert, M .
MATHEMATISCHE ANNALEN, 1996, 306 (01) :169-194
[4]  
Campillo A., 1980, Lecture Notes in Math, V813
[5]  
Casas-Alvero E., 2000, LONDON MATH SOC LECT, V276
[6]   Algorithm for the semigroup of a space curve singularity [J].
Castellanos, A ;
Castellanos, J .
SEMIGROUP FORUM, 2005, 70 (01) :44-60
[7]   ON THE GEOMETRY OF THE SEQUENCE OF INFINITELY NEAR POINTS [J].
CASTELLANOS, J ;
NUNEZ, A .
MANUSCRIPTA MATHEMATICA, 1991, 72 (01) :49-66
[8]   Complete ideals and singularities of space curves [J].
Castellanos, J .
MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (04) :777-802
[10]  
CASTELLANOS J, 1995, SINGULARITY THEORY, P173