Fundamental group for the complement of the Cayley's singularities

Details Fundamental group for the complement of the Cayley's singularities Fundamental group for the complement of the Cayley's singularities

2008-03-20

arxiv.org/abs/0803.3005v5

Mathematics

Algebraic Geometry

4 figures

Scientific paper

Given a singular surface X, one can extract information on it by investigating the fundamental group $\pi_1(X - Sing_X)$. 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 and their liftings. This is one of the first examples that uses these techniques to calculate this sort of fundamental group.

Affiliated with

Also associated with

No associations

Rating

Fundamental group for the complement of the Cayley's singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fundamental group for the complement of the Cayley's singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fundamental group for the complement of the Cayley's singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578116