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Paper detail

McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities

We give a conceptual proof that the Poincaré series of the coordinate algebra of a Kleinian singularity and of a Fuchsian singularity of genus 0 is the quotient of the characteristic polynomials of two Coxeter elements. These Coxeter elements are interpreted geometrically, using triangulated categories and spherical twist functors.

preprint2008arXivOpen access
Wolfgang EbelingDavid Ploog
math.AG
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Wolfgang EbelingDavid Ploog

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