An intersection number for the punctual Hilbert scheme of a surface

dc.creatorEllingsrud, Geir
dc.creatorStrømme, Stein Arild
dc.date1996-03-21
dc.date.accessioned2026-07-07T09:06:45Z
dc.date.available2026-07-07T09:06:45Z
dc.descriptionLet S be a smooth projective surface, and consider the following two subvarieties of the Hilbert scheme parameterizing closed subschemes of S of length n: A = {subschemes with support in a fixed point of S} B = {subschemes with support in one (variable) point of S} A and B have complementary dimensions in the Hilbert scheme. We prove that the intersection number [A].[B] = n(-1)^(n-1), answering a question by H. Nakajima.
dc.descriptionAMSLaTeX v 1.2, 7 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9603015
dc.identifierhttp://arxiv.org/abs/alg-geom/9603015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150124
dc.subjectAlgebraic Geometry
dc.subject14C17, 14C05
dc.titleAn intersection number for the punctual Hilbert scheme of a surface
dc.typetext

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