Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poincar\'{e} series and monodromy of a two-dimensional quasihomogeneous
  hypersurface singularity   A relation is proved between the Poincar\'{e} series of the coordinate
algebra of a two-dimensional quasihomogeneous isolated hypersurface singularity
and the characteristic polynomial of its monodromy operator. For a Kleinian
singularity not of type $A_{2n}$, this amounts to the statement that the
Poincar\'{e} series is the quotient of the characteristic polynomial of the
Coxeter element by the characteristic polynomial of the affine Coxeter element
of the corresponding root system. We show that this result also follows from
the McKay correspondence.

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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: cs