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

2018/06/11 by Yi-Ning Hsiao, Hsiao, Yi-Ning, András Szenes +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1806.03955

openalex publication_date 2018/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Algebraic Families on an Algebraic Surface

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