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Listar Artículos (Álgebra) por autor "Arias de Reyna Domínguez, Sara"
Mostrando ítems 1-10 de 10
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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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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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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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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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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, 2015-04)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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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 ...