## Title data

Lönne, Michael:

**Fundamental groups of projective discriminant complements.**

*In:* Duke Mathematical Journal.
Vol. 150
(2009)
Issue 2
.
- pp. 357-405.

ISSN 1547-7398

DOI: https://doi.org/10.1215/00127094-2009-055

## Abstract in another language

We investigate the complement of the discriminant in the projective space PSymdCn+1 of polynomials defining hypersurfaces of degree d in Pn. Following the ideas of Zariski, we are able to give a presentation for the fundamental group of the discriminant complement which generalises the well-known presentation in case n=1 (i.e., of the spherical braid group on d strands).

In particular, our argument proceeds by a geometric analysis of the discriminant polynomial as proposed in [Be] and draws on results and methods from [L1] addressing a comparable problem for any versal unfolding of Brieskorn-Pham singularities.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | fundamental group; discriminant complement; presentations |

Subject classification: | Mathematics Subject Classification Code: 14J70 14D05 |

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: | 24 Nov 2021 07:34 |

Last Modified: | 24 Nov 2021 07:34 |

URI: | https://eref.uni-bayreuth.de/id/eprint/67995 |