The fundamental group for the complement of Cayley's singularities

Titelangaben

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. Bd. 50 (2009) Heft 2 . - S. 469-482.
ISSN 0138-4821

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Abstract

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.