Poincaré series and monodromy of the simple and unimodal boundary singularities

Details Poincaré series and monodromy of the simple and unimodal boundary singularities Poincaré series and monodromy of the simple and unimodal boundary singularities

2008-07-30

arxiv.org/abs/0807.4839v1

Mathematics

Algebraic Geometry

13 pages, 2 figures

Scientific paper

A boundary singularity is a singularity of a function on a manifold with boundary. The simple and unimodal boundary singularities were classified by V. I. Arnold and V. I. Matov. The McKay correspondence can be generalized to the simple boundary singularities. We consider the monodromy of the simple, parabolic, and exceptional unimodal boundary singularities. We show that the characteristic polynomial of the monodromy is related to the Poincar\'e series of the coordinate algebra of the ambient singularity.

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