NameOlalla Acosta, Miguel Ángel
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryProfesor Titular de Universidad
E-mailRequest
         
  • No. publications

    12

  • No. visits

    1408

  • No. downloads

    2412


 

Final Degree Project
Icon

La inversión respecto de una circunferencia

Morilla Ortega, Francisco Jesús; Olalla Acosta, Miguel Ángel (2022)
La inversión es una transformación en el plano euclídeo extendido, que transforma rectas y circunferencias en rectas y ...
Article
Icon

Key polynomials for simple extensions of valued fields

Herrera Govantes, Francisco Javier; Mahboub, W.; Olalla Acosta, Miguel Ángel (Worldwide Center of Mathematics, 2022)
In this paper we present a refined version of MacLane's theory of key polynomials, similar to those considered by M. ...
Final Degree Project
Icon

El icosaedro y la irreducibilidad de la quíntica

Gómez Sousa, Víctor Manuel; Olalla Acosta, Miguel Ángel (2019)
According to Galois theory, every irreducible quintic whose Galois group is isomorphic to A5 can not be solved by radicals, ...
Final Degree Project
Icon

Introducción a la teoría de valoraciones

Piedra de la Cuadra, Ramón; Olalla Acosta, Miguel Ángel (2016)
This paper makes an introduction to the theory of valuations on fields, we try to analyse the extension of valuations in ...
Article
Icon

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)
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily ...
Article
Icon

Valuations in algebraic field extensions

Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Spivakovsky, Mark (Elsevier, 2007)
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
Icon

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
Icon

Monomial discrete valuations in k[[X]]

Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (Cornell University, 2003)
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.
Article
Icon

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 ...
Article
Icon

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)
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, ...
Article
Icon

On the dimension of discrete valuations of k ((X1, ..., Xn))

Olalla Acosta, Miguel Ángel (Elsevier, 2001)
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 ...
PhD Thesis
Icon

Cálculos efectivos con valoraciones ramificación

Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (1999)
En la presente memoria se estudian las valoraciones discretas de rango 1 sobre un cuerpo de series en n variables con ...