Details
| Original language | English |
|---|---|
| Pages (from-to) | 475-491 |
| Number of pages | 17 |
| Journal | Manuscripta mathematica |
| Volume | 116 |
| Issue number | 4 |
| Publication status | Published - Apr 2005 |
| Externally published | Yes |
Abstract
The so called wedge singularities, that consist of a plane curve singularity C and a line transverse to the plane of C, are the simplest space curve singularities which are not a complete intersection. We show that for every wedge singularity X there is an isolated complete intersection singularity Y related to X and we describe the discriminant of X in terms of Y. We also show that the monodromy group of X corresponds to the one of Y. Furthermore, we calculate Coxeter-Dynkin diagrams for some space curve singularities of multiplicity three. To this end we apply real-morsification-techniques.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Manuscripta mathematica, Vol. 116, No. 4, 04.2005, p. 475-491.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Coxeter-Dynkin diagrams of some space curve singularities
AU - Alpert, Christian
PY - 2005/4
Y1 - 2005/4
N2 - The so called wedge singularities, that consist of a plane curve singularity C and a line transverse to the plane of C, are the simplest space curve singularities which are not a complete intersection. We show that for every wedge singularity X there is an isolated complete intersection singularity Y related to X and we describe the discriminant of X in terms of Y. We also show that the monodromy group of X corresponds to the one of Y. Furthermore, we calculate Coxeter-Dynkin diagrams for some space curve singularities of multiplicity three. To this end we apply real-morsification-techniques.
AB - The so called wedge singularities, that consist of a plane curve singularity C and a line transverse to the plane of C, are the simplest space curve singularities which are not a complete intersection. We show that for every wedge singularity X there is an isolated complete intersection singularity Y related to X and we describe the discriminant of X in terms of Y. We also show that the monodromy group of X corresponds to the one of Y. Furthermore, we calculate Coxeter-Dynkin diagrams for some space curve singularities of multiplicity three. To this end we apply real-morsification-techniques.
UR - http://www.scopus.com/inward/record.url?scp=79960072835&partnerID=8YFLogxK
U2 - 10.1007/s00229-005-0539-4
DO - 10.1007/s00229-005-0539-4
M3 - Article
AN - SCOPUS:79960072835
VL - 116
SP - 475
EP - 491
JO - Manuscripta mathematica
JF - Manuscripta mathematica
SN - 0025-2611
IS - 4
ER -