Hilbert scheme of points on cyclic quotient singularities of type (p,1)
classification
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math.CO
keywords
generatingseriescyclichilbertpointsquotientschemesingularities
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In this note we investigate the generating series of the Euler characteristics of Hilbert scheme of points on cyclic quotient singularities of type (p,1). We link the appearing combinatorics to p-fountains, a generalization of the notion of fountain of coins. We obtain a representation of the generating series as coefficient of a two variable generating series.
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