Mathematics – Algebraic Geometry
Scientific paper
2000-07-25
Mathematics
Algebraic Geometry
27 pages, 16 figures
Scientific paper
In this paper we show a Zariski pair of sextics which is not a degeneration of the original example given by Zariski. This is the first example of this kind known. The two curves of the pair have a trivial Alexander polynomial. The difference in the topology of their complements can only be detected via finer invariants or techniques. In our case the generic braid monodromies, the fundamental groups, the characteristic varieties and the existence of dihedral coverings of $\PP^2$ ramified along them can be used to distinguish the two sextics. Our intention is not only to use different methods and give a general description of them but also to bring together different perspectives of the same problem.
Bartolo Enrique Artal
Cogolludo Jose Ignacio
Ruber Jorge Carmona
Tokunaga Hiro-o
No associations
LandOfFree
Sextics with singular points in special position 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 Sextics with singular points in special position, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sextics with singular points in special position will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-406780