dc.creator | Herrera Govantes, Francisco Javier | es |
dc.creator | Olalla Acosta, Miguel Ángel | es |
dc.creator | Spivakovsky, Mark | es |
dc.date.accessioned | 2016-06-08T08:34:15Z | |
dc.date.available | 2016-06-08T08:34:15Z | |
dc.date.issued | 2007-06-15 | |
dc.identifier.citation | Herrera Govantes, F.J., Olalla Acosta, M.Á. y Spivakovsky. Mark, (2007). Valuations in algebraic field extensions. Journal of Algebra, 312 (2), 1033-1074. | |
dc.identifier.issn | 1090-266X | es |
dc.identifier.issn | 0021-8693 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42031 | |
dc.description.abstract | Let K → L be an algebraic field extension and ν a valuation of K. The purpose of this paper is to describe the totality of extensions {ν′} of ν to L using a refined version of MacLane’s key polynomials. In the basic case when L is a finite separable extension and rk ν = 1, we give an explicit description of the limit key polynomials (which can be viewed as a generalization of the Artin–Schreier polynomials). We also give a realistic upper bound on the order type of the set of key polynomials. Namely, we show that if char K = 0 then the set of key polynomials has order type at most N, while in the case char K = p > 0 this order type is bounded above by
logp n + 1 ω, where n = [L : K]. Our results provide a new point of view of the
the well known formula Ps j=1 ejfjdj = n and the notion of defect. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Algebra, 312 (2), 1033-1074. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | valuation | es |
dc.subject | algebraic extension | es |
dc.subject | key polynomial | es |
dc.subject | Newton polygon | es |
dc.title | Valuations in algebraic field extensions | 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 | MTM2004-07203-C02-01 | es |
dc.relation.projectID | HF2004-0117 | es |
dc.relation.publisherversion | http://doi.org/10.1016/j.jalgebra.2007.02.022 | |
dc.identifier.doi | 10.1016/j.jalgebra.2007.02.022 | es |
idus.format.extent | 48 p. | es |
dc.journaltitle | Journal of Algebra | es |
dc.publication.volumen | 312 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 1033 | es |
dc.publication.endPage | 1074 | es |
dc.relation.publicationplace | Amsterdam | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42031 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |