The Hilbert schemes of points on surfaces with rational double point singularities

Abstract

We prove that the Hilbert scheme of points on a normal quasi-projective surface with at worst rational double point singularities is irreducible.

arXiv comment26 pages

References in corpus (5)

• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• A conjectural generating function for numbers of curves on surfaces
• Hilbert schemes of 8 points
• Murphy's Law for Hilbert function strata in the Hilbert scheme of points
• Families of zero cycles and divided powers: I. Representability

Cited by in corpus (2)

• Symplectic resolutions of the Hilbert squares of ADE surface singularities
• Counting stable sheaves on singular curves and surfaces