Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities

Details Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities

2000-06-18

arxiv.org/abs/math/0006124v1

Tohoku Math. Journal 53 (2001), 533-552

Mathematics

Algebraic Geometry

20 pages, 16 figures

Scientific paper

The geometric monodromy of a plane curve singularity is a quasi-finite
diffeomorphism. In this paper we locate the reduction curves of the geometric
monodromy and the quadratic vanishing cycles of the singularity. An application
to the geometric monodromy group is given.

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