Monodromy of plane curves and quasi-ordinary surfaces

Details Monodromy of plane curves and quasi-ordinary surfaces Monodromy of plane curves and quasi-ordinary surfaces

2009-02-15

arxiv.org/abs/0902.2580v1

Mathematics

Algebraic Geometry

19 pages, 5 figures

Scientific paper

We develop recursive formulas for the horizontal and vertical monodromies of a quasi-ordinary surface. These are monodromies associated to the Milnor fiber of a slice transverse to a component of the singular locus. In the course of working out these recursions, we have discovered what appears to be a new way to express the monodromy associated to the Milnor fibration of a singular plane curve.

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