at Google ScholarTitle data
Lönne, Michael:
Braid Monodromy of some Brieskorn-Pham Singularities.
In: International Journal of Mathematics.
Vol. 21
(2010)
Issue 8
.
- pp. 1047-1070.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X10006379
Abstract in another language
For germs of isolated hypersurface singularities Lyashko and Looijenga introduced a map LL on the complement of the bifurcation set. It takes values in the space of simple polynomials of degree equal to the Milnor number μ of the singularity, and thus induces a map LL* from the fundamental group to the braid group on μ strands.
For the case of curve singularities given by a polynomial x3 + yℓ+1 we give a uniform description of the image LL* and derive a presentation of the discriminant knot group, i.e. for the fundamental group of the complement to the discriminant divisor.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | hypersurface singularities; versal unfolding; Dynkin diagram; braid monodromy; discriminant knot group |
| Subject classification: | Mathematics Subject Classification Code: 32S40 32S25 14D05 20F36 |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors > Professorship Algebraic Geometry - apl. Prof. Dr. Michael Lönne Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 23 Nov 2021 14:32 |
| Last Modified: | 15 Sep 2022 07:46 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/67991 |