NameArias de Reyna Domínguez, Sara
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryProfesora Titular de Universidad
E-mailRequest
           
  • No. publications

    16

  • No. visits

    1975

  • No. downloads

    2495


 

Master's Final Project
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Criptografía basada en Isogenias

Vela Cabello, Carlos; Arias de Reyna Domínguez, Sara (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
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Cohomología de Galois y el Problema de Inmersión

Naranjo Sierra, Germán; Arias de Reyna Domínguez, Sara (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
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The Néron-Ogg-Shafarevich Criterion for elliptic curves

Navas Orozco, Jesús; Arias de Reyna Domínguez, Sara; Tornero Sánchez, José María (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
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Spaces of modular forms. Modular curves and dimensions

López Sánchez, Jesús; Arias de Reyna Domínguez, Sara; Arias de Reyna Martínez, Juan (2019)
The Modularity Theorem states that all rational elliptic curve arise from modular forms. In 1995, Andrew Wiles proved a ...
Final Degree Project
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Cálculo explícito de Elementos de Frobenius en Grupos de Galois

Garrido López, Verónica; Arias de Reyna Domínguez, Sara (2019)
In the XIX century David Hilbert proposed a problem in Galois Theory that remains unanswered today, “Every finite group ...
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Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations

Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor (American Mathematical Society, 2017)
This article is the first part of a series of three articles about compatible systems of symplectic Galois representations ...
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Classification of subgroups of symplectic groups over finite fields containing a transvection

Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor (De Gruyter Open, 2016)
In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of ...
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Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image

Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor (Mathematical Sciences Publishers, 2016)
This article is the second part of a series of three articles about compatible systems of symplectic Galois representations ...
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Large Galois images for Jacobian varieties of genus 3 curves

Arias de Reyna Domínguez, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila Oliva, Núria (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 ...
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On conjectures of Sato-Tate and Bruinier-Kohnen

Arias de Reyna Domínguez, Sara; Inam, Ilker; Wiese, Gabor (Springer, 2015)
This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and ...
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Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties

Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Shin, Sug Woo; Wiese, Gabor (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
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Galois representations and Galois groups over Q

Arias de Reyna Domínguez, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila Oliva, Núria; Bertin, Marie José; Bucur, Alina; Feigon, Brooke; Schneps, Leila (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 ...
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Big monodromy theorem for abelian varieties over finitely generated fields

Arias de Reyna Domínguez, Sara; Gajda, Wojciech J.; Petersen, Sebastian (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 ...
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Abelian varieties over number fields, tame ramification and big Galois image

Arias de Reyna Domínguez, Sara; Kappen, Christian (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 ...
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Formal groups, supersingular abelian varieties and tame ramification

Arias de Reyna Domínguez, Sara (Elsevier, 2011)
Let us consider an abelian variety defined over Qℓ with good supersingular reduction. In this paper we give explicit ...
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Tame Galois realizations of GSp4 (Fℓ) over Q

Arias de Reyna Domínguez, Sara; Vila Oliva, Núria (Oxford University Press, 2011)
In this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic ℓ ...