Infinite Intersections of open subschemes and the Hilbert scheme of points

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dc.creatorSkjelnes, R. M.
dc.creatorWalter, C.
dc.date2002-05-23
dc.date.accessioned2026-07-07T04:48:39Z
dc.date.available2026-07-07T04:48:39Z
dc.descriptionWe study infinite intersections of open subschemes and the corresponding intersection of Hilbert schemes. If $\{U_i\}$ is the collection of open subschemes of a variety $X$ containing a fixed point $P$, then we show that the Hilbert functor of flat and finite families on the spectrum of the local ring of $P$ is given by the intersection of ${\Cal H}_i$, where ${\Cal H}_i$ is the Hilbert functor of flat and finite families on $U_i$. In particular we show that the Hilbert functor of flat and finite families on the spectrum of the local ring of $P$ is representable by a scheme.
dc.identifierhttps://arxiv.org/abs/math/0205239
dc.identifierhttp://arxiv.org/abs/math/0205239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64130
dc.subjectAlgebraic Geometry
dc.subject14C05
dc.titleInfinite Intersections of open subschemes and the Hilbert scheme of points
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