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Listar Artículos (Álgebra) por autor "Vicente Córdoba, José Luis"
Mostrando ítems 1-4 de 4
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Artículo
Monomial discrete valuations in k[[X]]
Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (Cornell University, 2003-07-17)Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.
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Artículo
Rank one discrete valuations of power series fields
Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (Taylor & Francis, 2007)In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in k[[X1, . . . , Xn]] ...
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Artículo
The Newton Procedure for several variables
Soto Prieto, Manuel Jesús; Vicente Córdoba, José Luis (Elsevier, 2011-07-15)Let us consider an equation of the form P(x, z) = zm + w1(x)zm−1 + · · · + wm−1(x)z + wm(x) = 0, where m>1, n>1, x=(x1⋯xn) ...
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Artículo
Valuations in fields of power series
Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (European Mathematical Society, 2003)This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe ...