McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We give a conceptual proof that the Poincar\-e series of the coordinatealgebra of a Kleinian singularity and of a Fuchsian singularity of genus 0 isthe quotient of the characteristic polynomials of two Coxeter elements. TheseCoxeter elements are interpreted geometrically, using triangulated categoriesand spherical twist functors.



Author: Wolfgang Ebeling, David Ploog

Source: https://arxiv.org/







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