On incidence between strata of the Hilbert scheme of points on P^2

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dc.creatorDe Naeghel, K.
dc.creatorBergh, M. Van den
dc.date2005-03-31
dc.date.accessioned2026-07-07T05:18:40Z
dc.date.available2026-07-07T05:18:40Z
dc.descriptionThe Hilbert scheme of n points in the projective plane has a natural stratification obtained from the associated Hilbert series. In general, the precise inclusion relation between the closures of the strata is still unknown. Guerimand studied this problem for strata whose Hilbert series are as close as possible. Preimposing a certain technical condition he obtained necessary and sufficient conditions for the incidence of such strata. In this paper we present a new approach, based on deformation theory, to Guerimand's result. This allows us to show that the technical condition is not necessary.
dc.description23 pages with 8 figures
dc.identifierhttps://arxiv.org/abs/math/0503731
dc.identifierhttp://arxiv.org/abs/math/0503731
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74742
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14C99
dc.titleOn incidence between strata of the Hilbert scheme of points on P^2
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