Variations on a Theorem of Abel.
Varietà abeliane di tipo Mumford
Variétés abéliennes
Variétés abéliennes et indépendance albébrique II: Un analogue abélien du théorème de Lindeman-Weierstraß.
Variétés abéliennes et indépendance algébrique. I.
Variétés abéliennes et invariants arithmétiques
Dans la continuité de nos travaux précédents, nous étudions un analogue, pour le modèle de Néron d’une variété abélienne semi-stable sur un corps de nombres, du class-invariant homomorphism introduit par M. J. Taylor, qui nous permet de mesurer la structure galoisienne de certains torseurs.
Variétés abéliennes réelles et toupie de Kowalevski
Variétés de Prym d'un revetement galoisien.
Variétés de Prym et jacobiennes intermédiaires
Varieties in positive characteristic with trivial tangent bundle
Vector Bundles on Abelian Surfaces.
Very ample linear systems on abelian varieties.
Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.
Quite recently, Alexeev and Nakamura proved that if Y is a stable semi-Abelic variety (SSAV) of dimension g equipped with the ample line bundle OY(1), which deforms to a principally polarized Abelian variety, then OY(n) is very ample as soon as n ≥ 2g + 1, that is n ≥ 5 in the case of surfaces. Here it is proved, via elementary methods of projective geometry, that in the case of surfaces this bound can be improved to n ≥ 3.
Volcanoes of l-isogenies of elliptic curves over finite fields: The case l=3.
This paper is devoted to the study of the volcanoes of ℓ-isogenies of elliptic curves over a finite field, focusing on their height as well as on the location of curves across its different levels. The core of the paper lies on the relationship between the ℓ-Sylow subgroup of an elliptic curve and the level of the volcano where it is placed. The particular case ℓ = 3 is studied in detail, giving an algorithm to determine the volcano of 3-isogenies of a given elliptic curve. Experimental results...