The canonical modifications by weighted blow-ups

dc.creatorIshii, Shihoko
dc.date1996-01-18
dc.date1996-01-18
dc.date.accessioned2026-07-07T08:58:05Z
dc.date.available2026-07-07T08:58:05Z
dc.descriptionIn this paper we give a criterion for an isolated, hypersurface singularity of dimension $n\ (\geq 2)$ to have the canonical modification by means of a suitable weighted blow-up. Then we give a counter example to the following conjecture by Reid-Watanabe: For a 3-dimensional, isolated, non-canonical, log-canonical singularity $(X,x)$ of embedded dimension 4, there exists an embedding $(X,x)\subset ({\bC}^4, 0)$ and a weight ${\bw}=(w_0,w_1,\ldots ,w_n)$, such that the ${\bw}$-blow-up gives the canonical modification of $(X,x)$.
dc.descriptionAMSLaTeX, 16 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9601017
dc.identifierhttp://arxiv.org/abs/alg-geom/9601017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147187
dc.subjectAlgebraic Geometry
dc.subject14
dc.titleThe canonical modifications by weighted blow-ups
dc.typetext

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