Listar por autor "Olalla Acosta, Miguel Ángel"
Mostrando ítems 1-12 de 12
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Tesis Doctoral
Cálculos efectivos con valoraciones ramificación
(1999)En la presente memoria se estudian las valoraciones discretas de rango 1 sobre un cuerpo de series en n variables con ...
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Artículo
Computing the rational torsion of an elliptic curve using Tate normal form
(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, ...
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Artículo
Extending a valuation centered in a local domain to the formal completion
(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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Trabajo Fin de Grado
El icosaedro y la irreducibilidad de la quíntica
(2019)According to Galois theory, every irreducible quintic whose Galois group is isomorphic to A5 can not be solved by radicals, ...
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Trabajo Fin de Grado
Introducción a la teoría de valoraciones
(2016)This paper makes an introduction to the theory of valuations on fields, we try to analyse the extension of valuations in ...
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Trabajo Fin de Grado
La inversión respecto de una circunferencia
(2022-06-22)La inversión es una transformación en el plano euclídeo extendido, que transforma rectas y circunferencias en rectas y ...
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Artículo
Key polynomials for simple extensions of valued fields
(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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Artículo
Monomial discrete valuations in k[[X]]
(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
On the dimension of discrete valuations of k ((X1, ..., Xn))
(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 ...
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Artículo
Rank one discrete valuations of power series fields
(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
Valuations in algebraic field extensions
(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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Artículo
Valuations in fields of power series
(European Mathematical Society, 2003)This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe ...