Nicolas Ratazzi

most citedDensité de points et minoration de hauteur

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2004

Theoreme de Dobrowolski-Laurent pour les extensions abeliennes sur une courbe elliptique a multiplication complexe

Nicolas Ratazzi

Let E/K be an elliptic curve with complex multiplication and let $K^{ab}$ be the Abelian closure of $K$ . We prove in this article that there exists a constant $c (E / K)$ such that :…

math.NT2004

Deux remarques sur le probleme de Lehmer sur les varietes abeliennes

Nicolas Ratazzi

Let $A / K$ be an abelian variety over a number field $K$ . We prove in this article that a good lower bound (in terms of the degree $[K (P) : K]$ ) for the Néron-Tate height of the point…

math.NT2003★ 1 cited

Densité de points et minoration de hauteur

Nicolas Ratazzi

We obtain a lower bound for the normalised height of a non-torsion subvariety $V$ of a C.M. abelian variety. This lower bound is optimal in terms of the geometric degree of $V$ , up…