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Article Dans Une Revue Mathematical Research Letters Année : 2009

The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3

Alexandru Dimca
Balazs Szendroi
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-00940225 , version 1 (31-01-2014)

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Alexandru Dimca, Balazs Szendroi. The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3. Mathematical Research Letters, 2009, 16, pp.1037-1055. ⟨hal-00940225⟩
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