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

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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.
22 pages

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Algebraic Geometry, 14C30, 14F25, 32S40

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http://salesiana.dossiersoluciones.com/handle/123456789/227343

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.2419
 http://arxiv.org/abs/0904.2419

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arXiv