A Proof of Desingularization over fields of characteristic zero

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dc.creatorEncinas, S.
dc.creatorVillamayor, O.
dc.date2001-01-25
dc.date2002-09-30
dc.date.accessioned2026-07-07T04:39:48Z
dc.date.available2026-07-07T04:39:48Z
dc.descriptionWe present a proof of embedded desingularization for closed subschemes which does not make use of Hilbert-Samuel function and avoids Hironaka's notion of normal flatness. This proof, already sketched in [A course on constructive desingularization and equivariance. In {\em Resolution of singularities (Obergurgl, 1997)}, vol. 181 {\em Progr. Math.}, Birkhäuser, 2000.] page 224, is done by showing that desingularization of a closed subscheme $X$, in a smooth sheme W, is achieved by taking an algorithmic principalization for the ideal $I(X)$, associated to the embedded scheme $X$.
dc.descriptionIn accordance to the suggestions of referee: Title has changed and the structure of the paper is different. Proof of main theorem is clarified. Latex document, 11pages
dc.identifierhttps://arxiv.org/abs/math/0101208
dc.identifierhttp://arxiv.org/abs/math/0101208
dc.identifierRevista Matematica Iberoamericana 19, 339-353 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60817
dc.subjectAlgebraic Geometry
dc.subject14E15; 32S45
dc.titleA Proof of Desingularization over fields of characteristic zero
dc.typetext

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