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The fundamental group for the complement of Cayley's singularities

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:

Official URL: Volltext

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