idUS - Perfil del autor: Arias de Reyna Domínguez, Sara

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Nombre	Arias de Reyna Domínguez, Sara
Departamento	Algebra
Área de conocimiento	Álgebra
Categoría profesional	Profesora Titular de Universidad
Correo electrónico	Solicitar

Nº publicaciones

17
Nº visitas

2061
Nº descargas

2593

Tipología

Orden

Publicaciones
Trabajo Fin de Máster Representaciones de Galois asociadas a curvas elípticas Pineda Martín, Miguel; Tornero Sánchez, José María; Arias de Reyna Domínguez, Sara (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 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 ...
Trabajo Fin de Máster 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 ...
Trabajo Fin de Máster 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 ...
Trabajo Fin de Máster 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 ...
Trabajo Fin de Grado 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 ...
Artículo 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 ...
Artículo 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 ...
Artículo 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 ...
Artículo 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 ...
Artículo 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 ...
Artículo 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 ...
Capítulo de Libro 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 ...
Artículo 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 ...
Artículo 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 ...
Artículo 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 ...
Artículo 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 ...