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Browsing by Author "Herrera Govantes, Francisco Javier"  

Now showing items 1-7 of 7

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

      Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Spivakovsky, Mark; Teissier, Bernard (London Mathematical Society, 2012-09)
      Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily ...
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      Key polynomials for simple extensions of valued fields 

      Herrera Govantes, Francisco Javier; Mahboub, W.; Olalla Acosta, Miguel Ángel (Worldwide Center of Mathematics, 2022-05-28)
      In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. ...
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      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.
    • PhD Thesis
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      Ramificación de valoraciones de superficies algebroides 

      Herrera Govantes, Francisco Javier (1981)
      Se construyen las valoraciones de un cuerpo de funciones heromorfas formales en dos variables y se estudia la ramificación ...
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      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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      Valuations in algebraic field extensions 

      Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Spivakovsky, Mark (Elsevier, 2007-06-15)
      Let K → L be an algebraic field extension and ν a valuation of K. The purpose of this paper is to describe the totality ...
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      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 ...