On the representability of ${\Cal Hilb}^nk[x]_{(x)}$

dc.creatorSkjelnes, Roy M.
dc.date1999-12-17
dc.date.accessioned2026-07-07T05:32:20Z
dc.date.available2026-07-07T05:32:20Z
dc.descriptionLet $k[x]_{(x)}$ be the polynomial ring $k[x]$ localized in the maximal ideal $(x)\subseteq k[x]$. We study the Hilbert functor parameterizing ideals of colength $n$ in this ring {\it having support at the origin}. The main result of this article is that this functor is not representable. We also give a complete description of the functor as a limit of representable functors.
dc.identifierhttps://arxiv.org/abs/math/9912138
dc.identifierhttp://arxiv.org/abs/math/9912138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79624
dc.subjectAlgebraic Geometry
dc.titleOn the representability of ${\Cal Hilb}^nk[x]_{(x)}$
dc.typetext

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