## Title 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 |