## Title data

Amram, Meirav ; Dettweiler, Michael ; Friedman, Michael ; Teicher, Mina:

**The fundamental group for the complement of Cayley's singularities.**

*In:* Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry.
Vol. 50
(2009)
Issue 2
.
- pp. 469-482.

ISSN 0138-4821

Review: |

## Abstract in another language

Given a singular surface X, one can extract information on

it by investigating the fundamental group π1(X − SingX ). However, calculation of this group is non-trivial, but it can be simplified if a certain invariant of the branch curve of X – called the braid monodromy factorization – is known. This paper shows, taking the Cayley cubic as an example, how this fundamental group can be computed by using braid monodromy techniques ([18]) and their liftings. This is one of the first examples that uses these techniques to calculate this sort of fundamental group.

## Further data

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

Refereed: | Yes |

Keywords: | singularities; coverings; fundamental groups; surfaces; mapping class group |

Institutions of the University: | 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 > Chair Mathematics IV (Number Theory) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) > Chair Mathematics IV (Number Theorie) - Univ.-Prof. Dr. Michael Dettweiler |

Result of work at the UBT: | No |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 05 May 2023 09:15 |

Last Modified: | 05 May 2023 09:15 |

URI: | https://eref.uni-bayreuth.de/id/eprint/75279 |