Hilbert scheme of points on cyclic quotient singularities of type (p, 1)

In this note we investigate the generating series of the Euler characteristics of the 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 g...

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Bibliografische gegevens
Hoofdauteur: Gyenge, A
Formaat: Journal article
Gepubliceerd in: Springer Nature 2016
Omschrijving
Samenvatting:In this note we investigate the generating series of the Euler characteristics of the 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 a coefficient of a two variable generating series.