Monodromy of plane curves and quasi-ordinary surfaces

Journal of Singularities
volume 1 (2010), 146-168

Received 14 October 2009. Received in revised form 9 November 2010.

DOI: 10.5427/jsing.2010.1j

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Abstract:

We establish an explicit recursive formula for the vertical monodromies of an irreducible quasi-ordinary surface in C^3. The calculation employs a local description of the singularity at the generic point of each singular component in terms of a "truncation" and a "derived" surface. These objects are also used to retrieve a formula for the (classical) horizontal monodromy in recursive terms.

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