The Group of Automorphisms of the Modular Function Field.
The moduli space of curves of genus two covering elliptic curves.
The number of elliptic curves over Q with conductor N.
The optimality of the Bounded Height Conjecture
In this article we show that the Bounded Height Conjecture is optimal in the sense that, if is an irreducible subvariety with empty deprived set in a power of an elliptic curve, then every open subset of does not have bounded height. The Bounded Height Conjecture is known to hold. We also present some examples and remarks.
The -adic gamma function and the congruences of Atkin and Swinnerton-Dyer
The scheme of morphisms from an elliptic curve to a Grassmannian
The subbundles of decomposable vector bundles over on elliptic curve.
Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.
The tautological ring of
We describe the tautological ring of the moduli space of stable -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.
The torsion subgroup of a family of elliptic curves over the maximal abelian extension of
We determine explicitly the structure of the torsion group over the maximal abelian extension of and over the maximal -cyclotomic extensions of for the family of rational elliptic curves given by , where is an integer.
The underlying real algebraic structure of complex elliptic curves.
The Witt ring of an elliptic curve over a local field.
Théorie d'Iwasawa p-adique locale et globale.
Théorie élémentaire des fonctions elliptiques
Théorie élémentaire des fonctions elliptiques
Three constructions of rational points on Y2 = X3 ... NX.
Three constructions of rational points on Y2 = X3 ... NX (Errata).
Torsion des courbes elliptiques sur les corps cubiques
On donne la liste (à un élément près) des nombres premiers qui sont l’ordre d’un point de torsion d’une courbe elliptique sur un corps de nombres de degré trois.
Torsion groups of a family of elliptic curves over number fields
We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form , where is an integer.
Torsion groups of elliptic curves over quadratic fields
Torsion groups of elliptic curves with integral j-invariant over quadratic fields.