idUS - Author profile: Arias de Reyna Domínguez, Sara

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Name	Arias de Reyna Domínguez, Sara
Department	Algebra
Knowledge area	Álgebra
Professional category	Profesora Titular de Universidad
E-mail	Request

No. publications
16
No. visits
1695
No. downloads
2026

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Publications
Master's Final Project Criptografía basada en Isogenias Arias de Reyna Domínguez, Sara; Vela Cabello, Carlos (2022-06-20) 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 Arias de Reyna Domínguez, Sara; Naranjo Sierra, Germán (2022-06-02) 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 Arias de Reyna Domínguez, Sara; Tornero Sánchez, José María; Navas Orozco, Jesús (2020-09-07) 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 Arias de Reyna Domínguez, Sara; Arias de Reyna Martínez, Juan; López Sánchez, Jesús (2019-06-20) 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 Arias de Reyna Domínguez, Sara; Garrido López, Verónica (2019-01-01) 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 Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor (American Mathematical Society, 2017-02-01) 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 Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor (De Gruyter Open, 2016-06-01) 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 Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor (Mathematical Sciences Publishers, 2016-03-01) 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 Arias de Reyna Domínguez, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila Oliva, Núria (Polish Academy of Sciences, Institute of Mathematics, 2016-01-01) 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 Arias de Reyna Domínguez, Sara; Inam, Ilker; Wiese, Gabor (Springer, 2015-04-01) 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 Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Shin, Sug Woo; Wiese, Gabor (Springer, 2015-04-01) 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 Bertin, Marie José; Bucur, Alina; Feigon, Brooke; Schneps, Leila; Arias de Reyna Domínguez, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila Oliva, Núria (Springer, 2015-01-01) 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 Arias de Reyna Domínguez, Sara; Gajda, Wojciech J.; Petersen, Sebastian (Elsevier, 2013-02-01) 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 Arias de Reyna Domínguez, Sara; Kappen, Christian (International Press, 2013-01-01) 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 Arias de Reyna Domínguez, Sara (Elsevier, 2011-05-15) 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 Arias de Reyna Domínguez, Sara; Vila Oliva, Núria (Oxford University Press, 2011-01-01) In this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic ℓ ...