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

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dc.creatorDimca, Alexandru
dc.creatorSzendroi, Balazs
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:04:56Z
dc.date.available2026-07-07T13:04:56Z
dc.descriptionWe 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.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0904.2419
dc.identifierhttp://arxiv.org/abs/0904.2419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227343
dc.subjectAlgebraic Geometry
dc.subject14C30, 14F25, 32S40
dc.titleThe Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3
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