Refined Hilbert schemes, E-polynomials, and the number of generators of finite colength ideals in the plane

Andras Szenes; Yi-Ning Hsiao

Refined Hilbert schemes, E-polynomials, and the number of generators of finite colength ideals in the plane

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arxiv 1806.03955 v1 pith:2TEB2BSJ submitted 2018-06-11 math.AG

Refined Hilbert schemes, E-polynomials, and the number of generators of finite colength ideals in the plane

Yi-Ning Hsiao , Andras Szenes This is my paper

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keywords e-polynomialsgeneratorshilbertidealsnumberaffineassociatedback

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The study of the stratification associated to the number of generators of the ideals in the punctual Hilbert scheme of points on the affine plain goes back to the '70s. In this paper, we present an elegant formula for the E-polynomials of these strata.

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