Now showing items 1-9 of 9

    • PhD Thesis
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      Cálculos efectivos con valoraciones ramificación 

      Olalla Acosta, Miguel Ángel (1999)
      En la presente memoria se estudian las valoraciones discretas de rango 1 sobre un cuerpo de series en n variables con ...
    • Article
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      Computing the rational torsion of an elliptic curve using Tate normal form 

      García Selfa, Irene; Olalla Acosta, Miguel Ángel; Tornero Sánchez, José María (Elsevier, 2002-09)
      It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, ...
    • Article
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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 ...
    • Final Degree Project
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      El icosaedro y la irreducibilidad de la quíntica 

      Gómez Sousa, Víctor Manuel (2019)
      According to Galois theory, every irreducible quintic whose Galois group is isomorphic to A5 can not be solved by radicals, ...
    • Final Degree Project
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      Introducción a la teoría de valoraciones 

      Piedra de la Cuadra, Ramón (2016)
      This paper makes an introduction to the theory of valuations on fields, we try to analyse the extension of valuations in ...
    • Article
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      On the dimension of discrete valuations of k ((X1, ..., Xn)) 

      Olalla Acosta, Miguel Ángel (Elsevier, 2001-07-01)
      Let v be a rank-one discrete valuation of the field Kn=k((X1,…,Xn)). We know, after [1], that if n=2 then the dimension ...
    • Article
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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]] ...
    • Article
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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 ...
    • Article
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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 ...