Author profile: Arias de Reyna Domínguez, Sara
Institutional data
Name | Arias de Reyna Domínguez, Sara |
Department | Algebra |
Knowledge area | Álgebra |
Professional category | Profesora Titular de Universidad |
Request | |
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Statistics
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No. publications
17
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No. visits
2257
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No. downloads
2911
Publications |
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Master's Final Project
![]() 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 ... |
Master's Final Project
![]() 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 ... |
Master's Final Project
![]() 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 ... |
Master's Final Project
![]() 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 ... |
Master's Final Project
![]() 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 ... |
Final Degree Project
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Chapter of Book
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |
Article
![]() 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 ... |