Carmona Ruber, Jorge and Artal, E. and Cogolludo, J.I. and Tokunaga, H.O. (2001) Sextics With Singular Points In Special Position. Journal Of Knot Theory And Its Ramifications, 10 (4). ISSN 0218-2165
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 P-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.
|Uncontrolled Keywords:||Fundamental Group; Plane Curve; Alexander Polynomial; Plane Algebraic-Curves; Surfaces; Mathematics|
|Subjects:||Sciences > Computer science|
|Deposited On:||29 Aug 2012 11:21|
|Last Modified:||29 Aug 2012 11:21|
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