# Rationality for generating series for Hilbert scheme of points of curves with toric singularities

More concretely, let $I$ be a monimial ideal in $\mathbb{C}[x_1,\ldots,x_n]$ such that the ring $A=\mathbb{C}[x_1,\ldots,x_n]/I$ is one dimensional. Let $X=\operatorname{Spec}A$, and let $X^{[n]}$ be the punctual Hilbert scheme of points located at the origin. Then is it true that the generating series for Euler characteristic $\sum_{n}\chi(X^{[n]})t^n$ is rational?

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This is the sort of question which might find its natural home at MathOverflow... –  Mariano Suárez-Alvarez Feb 15 '13 at 20:34