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Mostrando ítems 1-10 de 11
Artículo
Formal groups, supersingular abelian varieties and tame ramification
(Elsevier, 2011-05-15)
Let us consider an abelian variety defined over Qℓ with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the ℓ-torsion points of the variety ...
Artículo
Tame Galois realizations of GSp4 (Fℓ) over Q
(Oxford University Press, 2011)
In this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic ℓ > 3 as the Galois group of a tamely ramified Galois extension of Q. The strategy is to consider ...
Artículo
On conjectures of Sato-Tate and Bruinier-Kohnen
(Springer, 2015-04)
This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It extends previous results on a conjecture of ...
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations
(American Mathematical Society, 2017-02)
This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field ...
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image
(Mathematical Sciences Publishers, 2016-03)
This article is the second part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part is concerned with symplectic Galois ...
Artículo
Large Galois images for Jacobian varieties of genus 3 curves
(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 any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓ-torsion of ...
Artículo
Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties
(Springer, 2015-04)
This article is the third and last part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part proves the following new result ...
Artículo
Abelian varieties over number fields, tame ramification and big Galois image
(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 ℓ ≥ ℓ0, there exists a finite extension F/K, unramified in all places above ℓ, together with a ...
Artículo
Big monodromy theorem for abelian varieties over finitely generated fields
(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 points, for almost all primes ℓ, contains the full symplectic group. We prove that all abelian varieties ...
Artículo
Classification of subgroups of symplectic groups over finite fields containing a transvection
(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 GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G ...