Contents Online
Mathematical Research Letters
Volume 16 (2009)
Number 6
The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on~$\C^3$
Pages: 1037 – 1055
DOI: https://dx.doi.org/10.4310/MRL.2009.v16.n6.a12
Authors
Abstract
begin{abstract} We study a natural Hodge module on the Hilbert scheme of four points on affine three-space, which categorifies the Donaldson–Thomas invariant of the Hilbert scheme. We determine the weight filtration on the Hodge module explicitly in terms of intersection cohomology complexes, and compute the E-polynomial of its cohomology. The computations make essential use of a description of the singularity of the Hilbert scheme as the degeneracy locus of the Pfaffian function.
Published 1 January 2009