Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points

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dc.creatorGusein-Zade, Sabir M.
dc.creatorLuengo, Ignacio
dc.creatorMelle-Hernandez, Alejandro
dc.date2004-07-12
dc.date.accessioned2026-07-07T05:10:14Z
dc.date.available2026-07-07T05:10:14Z
dc.descriptionThe power structure over the Grothendieck (semi)ring of complex quasi-projective varieties constructed by the authors is used to express the generating series of classes of Hilbert schemes of zero-dimensional subschemes on a smooth quasi-projective variety as an exponent of that for the complex affine space of the same dimension. Specializations of this relation give formulae for generating series of such invariants of the Hilbert schemes of points as the Euler characteristic and the Hodge-Deligne polynomial.
dc.identifierhttps://arxiv.org/abs/math/0407204
dc.identifierhttp://arxiv.org/abs/math/0407204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71864
dc.subjectAlgebraic Geometry
dc.subject14C05, 14G10
dc.titlePower structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points
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