Herrera Govantes, Francisco JavierOlalla Acosta, Miguel ÁngelSpivakovsky, MarkTeissier, Bernard2016-10-072016-10-072012-09Herrera 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), 571-621.0024-61151460-244Xhttp://hdl.handle.net/11441/47165Let (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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1112/plms/pds002