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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
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 ...