Perfil del autor: Arias de Reyna Domínguez, Sara
Datos institucionales
Nombre | Arias de Reyna Domínguez, Sara |
Departamento | Algebra |
Área de conocimiento | Álgebra |
Categoría profesional | Profesora Titular de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
17
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Nº visitas
2418
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Nº descargas
3002
Publicaciones |
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Trabajo Fin de Máster
Representaciones de Galois asociadas a curvas elípticas
(2023)
J.P Serre made, in his article ’Proprietes galoisiénnés des points d’ordre fini des courbes elliptiques’ published in 1972 ... |
Trabajo Fin de Máster
Criptografía basada en Isogenias
(2022)
In this project we will make an introduction to the Di e-Hellman key exchange protocol based on iogenies of supersingular ... |
Trabajo Fin de Máster
Cohomología de Galois y el Problema de Inmersión
(2022)
This text is the required master thesis that the author needs to present in order to obtain his Master’s degree in ... |
Trabajo Fin de Máster
The Néron-Ogg-Shafarevich Criterion for elliptic curves
(2020)
This text is the required master thesis that the author needs to present in order to obtain his Master’s degree in ... |
Trabajo Fin de Máster
Spaces of modular forms. Modular curves and dimensions
(2019)
The Modularity Theorem states that all rational elliptic curve arise from modular forms. In 1995, Andrew Wiles proved a ... |
Trabajo Fin de Grado
Cálculo explícito de Elementos de Frobenius en Grupos de Galois
(2019)
In the XIX century David Hilbert proposed a problem in Galois Theory that remains unanswered today, “Every finite group ... |
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations
(American Mathematical Society, 2017)
This article is the first part of a series of three articles about compatible systems of symplectic Galois representations ... |
Artículo
Classification of subgroups of symplectic groups over finite fields containing a transvection
(De Gruyter Open, 2016)
In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of ... |
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image
(Mathematical Sciences Publishers, 2016)
This article is the second part of a series of three articles about compatible systems of symplectic Galois representations ... |
Artículo
Large Galois images for Jacobian varieties of genus 3 curves
(Polish Academy of Sciences, Institute of Mathematics, 2016)
Given a prime number ℓ ≥ 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for ... |
Artículo
On conjectures of Sato-Tate and Bruinier-Kohnen
(Springer, 2015)
This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and ... |
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties
(Springer, 2015)
This article is the third and last part of a series of three articles about compatible systems of symplectic Galois ... |
Capítulo de Libro
Galois representations and Galois groups over Q
(Springer, 2015)
In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic ... |
Artículo
Big monodromy theorem for abelian varieties over finitely generated fields
(Elsevier, 2013)
An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on ℓ-torsion ... |
Artículo
Abelian varieties over number fields, tame ramification and big Galois image
(International Press, 2013)
Given a natural number n ≥ 1 and a number field K, we show the existence of an integer ℓ0 such that for any prime number ... |
Artículo
Formal groups, supersingular abelian varieties and tame ramification
(Elsevier, 2011)
Let us consider an abelian variety defined over Qℓ with good supersingular reduction. In this paper we give explicit ... |
Artículo
Tame Galois realizations of GSp4 (Fℓ) over Q
(Oxford University Press, 2011)
In this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic ℓ ... |