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Extending a valuation centered in a local domain to the formal completion

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dc.creator Herrera Govantes, Francisco Javier es
dc.creator Olalla Acosta, Miguel Ángel es
dc.creator Spivakovsky, Mark es
dc.creator Teissier, Bernard es
dc.date.accessioned 2016-10-07T09:21:31Z
dc.date.available 2016-10-07T09:21:31Z
dc.date.issued 2012-09
dc.identifier.citation Herrera Govantes, F.J., Olalla Acosta, M.Á., Spivakovsky. Mark, y Teissier, B. (2012). Extending a valuation centered in a local domain to the formal completion. Proceedings of the London Mathematical Society, 105 (3), 571-621.
dc.identifier.issn 0024-6115 es
dc.identifier.issn 1460-244X es
dc.identifier.uri http://hdl.handle.net/11441/47165
dc.description.abstract Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily birationally). Let v|K be the restriction of v to K; by definition, v|K is centered at R. Let \hat{R} denote the m-adic completion of R. In the applications of valuation theory to commutative algebra and the study of singularities, one is often induced to replace R by its m-adic completion \hat{R} and v by a suitable extension \hat{v} to \hat{R}/P for a suitably chosen prime ideal P, such that P \cap R = (0). The purpose of this paper is to give, assuming that R is excellent, a systematic description of all such extensions \hat{v} and to identify certain classes of extensions which are of particular interest for applications. es
dc.description.sponsorship Ministerio de Educación y Ciencia es
dc.description.sponsorship Ministerio de Ciencia e Innovación es
dc.description.sponsorship Fondo Europeo de Desarrollo Regional es
dc.format application/pdf es
dc.language.iso eng es
dc.publisher London Mathematical Society es
dc.relation.ispartof Proceedings of the London Mathematical Society, 105 (3), 571-621.
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.title Extending a valuation centered in a local domain to the formal completion es
dc.title.alternative Extending a valuation centred in a local domain to the formal completion es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/submittedVersion es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de álgebra es
dc.relation.projectID MTM2007-66929 es
dc.relation.projectID MTM2010-19298 es
dc.relation.publisherversion http://plms.oxfordjournals.org/content/105/3/571.full.pdf+html es
dc.identifier.doi 10.1112/plms/pds002 es
dc.contributor.group Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades es
idus.format.extent 54 p. es
dc.journaltitle Proceedings of the London Mathematical Society es
dc.publication.volumen 105 es
dc.publication.issue 3 es
dc.publication.initialPage 571 es
dc.publication.endPage 621 es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/47165
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