An infinite family of elliptic curves over Q with large rank via Néron's method.
An Integral Criterion for the Equivalence of Plane Curves.
An iterative construction for ordinary and very special hyperelliptic curves
Si costruiscono famiglie di curve iperellittiche col —rango della varietà jacobiana uguale a zero. La costruzione sfrutta le proprietà elementari dell’operatore di Cartier e delle estensioni -cicliche dei corpi con la caratteristica maggiore di zero.
An unexpected appearance of Steiner's hypocycloid.
Analogs of Δ(z) for triangular Shimura curves
We construct analogs of the classical Δ-function for quotients of the upper half plane 𝓗 by certain arithmetic triangle groups Γ coming from quaternion division algebras B. We also establish a relative integrality result concerning modular functions of the form Δ(αz)/Δ(z) for α in B⁺. We give two explicit examples at the end.
Analytic equivalence of plane curve singularities .
Analytic Geometry on Real Algebraic Curves.
Andreotti-Mayer loci and the Schottky problem.
Annexe: Deux lettres
Apolarity and its applications.
Appendix to "Plücker conditions on plane rational curves": Families of rational plane curves.
Application de la théorie des fonctions fuchsiennes à l'étude des courbes algébriques
Application of generalized Weierstraß points: divisibilty of divisor classes.
Applications de la théorie de Kummer à des problèmes de transcendance.
Applications of iterated curve blow-up to set theoretic complete intersections in ...3.
Applications polynômiales à jacobienne constante
Approximation faible aux places de bonne réduction sur les surfaces cubiques sur les corps de fonctions
On démontre que les surfaces cubiques lisses sur les corps de fonctions d’une courbe sur un corps algébriquement clos de caractéristique vérifient l’approximation faible aux places de bonne réduction. La méthode utilisée imite celle employée par Swinnerton-Dyer [10] dans le cas des corps de nombres.
Approximations diophantiennes -adiques sur les courbes elliptiques admettant une multiplication complexe
Arakelov invariants of Riemann surfaces.
Are rational curves determined by tangent vectors?
Let be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.