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

2016/03/07 by Ádám Gyenge, Gyenge, Ádám · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO

paper · pdf · doi:10.48550/arxiv.1603.02114

arxiv created 2016/03/07 · arxiv updated 2016/03/08

Abstract

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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