The Milnor Fibre of the Pfaffian and the Hilbert Scheme of Four Points on C Alexandru Dimca and Bal´azs Szendr ˝ Oi

@inproceedings{Dimca2009TheMF,
  title={The Milnor Fibre of the Pfaffian and the Hilbert Scheme of Four Points on C Alexandru Dimca and Bal´azs Szendr ˝ Oi},
  author={Alexandru Dimca and Bal{\'a}zs Szendrői},
  year={2009}
}
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. Introduction Let (C) be the… CONTINUE READING

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