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Listar por autor "Arias de Reyna Domínguez, Sara"
Mostrando ítems 1-17 de 17
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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 ...
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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, 2013-02)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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Trabajo Fin de Grado
Cálculo explícito de Elementos de Frobenius en Grupos de Galois
Garrido López, Verónica (2019)In the XIX century David Hilbert proposed a problem in Galois Theory that remains unanswered today, “Every finite group ...
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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, 2016-06)In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of ...
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Trabajo Fin de Máster
Cohomología de Galois y el Problema de Inmersión
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 ...
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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, 2017-02)This article is the first part of a series of three articles about compatible systems of symplectic Galois representations ...
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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, 2016-03)This article is the second part of a series of three articles about compatible systems of symplectic Galois representations ...
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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, 2015-04)This article is the third and last part of a series of three articles about compatible systems of symplectic Galois ...
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Trabajo Fin de Máster
Criptografía basada en Isogenias
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 ...
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Artículo
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 ...
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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 (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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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 ...
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Artículo
On conjectures of Sato-Tate and Bruinier-Kohnen
Arias de Reyna Domínguez, Sara; Inam, Ilker; Wiese, Gabor (Springer, 2015-04)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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Trabajo Fin de Máster
Representaciones de Galois asociadas a curvas elípticas
Pineda Martín, Miguel (2023)J.P Serre made, in his article ’Proprietes galoisiénnés des points d’ordre fini des courbes elliptiques’ published in ...
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Trabajo Fin de Máster
Spaces of modular forms. Modular curves and dimensions
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 ...
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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 ...
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Trabajo Fin de Máster
The Néron-Ogg-Shafarevich Criterion for elliptic curves
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 ...