Mostrar el registro sencillo del ítem

dc.contributor.authorBravo, Ana
dc.contributor.authorEncinas Carrión, Santiago 
dc.contributor.authorPascual Escudero, Beatriz
dc.date.accessioned2019-05-06T09:11:34Z
dc.date.available2019-05-06T09:11:34Z
dc.date.issued2018
dc.identifier.citationIndiana University Mathematics Journal, 2018 (in press)es
dc.identifier.issn0022-2518es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/35935
dc.descriptionProducción Científicaes
dc.description.abstractWhen X is a d-dimensional variety defined over a field k of characteristic zero, a constructive resolution of singularities can be achieved by successively lowering the maximum multiplicity via blow ups at smooth equimultiple centers. This is done by stratifying the maximum multiplicity locus of X by means of the so called resolution functions. The most important of these functions is what we know as Hironaka’s order function in dimension d. Actually, this function can be defined for varieties when the base field is perfect; however if the characteristic of k is positive, the function is, in general, too coarse and does not provide enough information so as to define a resolution. It is very natural to ask what the meaning of this function is in this case, and to try to find refinements that could lead, ultimately, to a resolution. In this paper we show that Hironaka’s order function in dimension d can be read in terms of the Nash multiplicity sequences introduced by Lejeune-Jalabert. Therefore, the function is intrinsic to the variety and has a geometrical meaning in terms of its space of arcs.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherIndiana University Mathematics Journales
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.classificationResolución de singularidadeses
dc.subject.classificationResolution of Singularitieses
dc.titleNash multiplicity sequences and Hironaka's order functiones
dc.typeinfo:eu-repo/semantics/articlees
dc.relation.publisherversionhttps://www.iumj.indiana.edues
dc.identifier.publicationtitleIndiana University Mathematics Journales
dc.peerreviewedSIes
dc.description.projectMinisterio de Economía, Industria y Competitividad (Project MTM2015-68524-P)es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International


Ficheros en el ítem

Thumbnail

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem