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 |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | |