Effective invariants of braid monodromy and topology of plane curves

Details Effective invariants of braid monodromy and topology of plane curves Effective invariants of braid monodromy and topology of plane curves

2001-05-18

arxiv.org/abs/math/0105157v1

Mathematics

Algebraic Geometry

26 pages, two EPS figures, LaTeX

Scientific paper

In this paper we construct effective invariants for braid monodromy of affine
curves. We also prove that, for some curves, braid monodromy determines their
topology. We apply this result to find a pair of curves with conjugate
equations in a number field but which do not admit any orientation-preserving
homeomorphism.

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