Some monomial curves as set-theoretic complete intersections
Some Plane Curves whose Complements have Non-abelian Fundamental Groups.
Some Results on Unirationality of Algebraic Surfaces.
Some simple elliptic surfaces of genus zero.
Stable Curves and Special Divisors: Petri's Conjecture.
Stickelberger elements and modular parametrizations of elliptic curves.
Sulla trasversalità di due superfici in
Siano una curva ridotta ed irriducibile, ed un sistema minimale di generatori dell'ideale omogeneo . Nel § 2 determiniamo una condizione necessaria e sufficiente perché due superfici , , aventi equazioni ,
Superfici algebriche con curve canoniche
Supersingular curves of genus two and class numbers
Sur certains sous-groupes de torsion de Joacobiennes de courbes hyperelliptiques de genre g ... 1.
Sur la première partie du seizième problème de Hilbert
Sur la réduction des intégrales hyperelliptiques aux fonctions de première, de seconde et de troisième espèce
Sur le corps de définition de certaines courbes elliptiques à multiplications complexes.
Sur les courbes du quatrième degré qui ont trois points doubles d'inflexion, et en particulier sur la lemniscate
Sur les variétés de Prym des courbes tétragonales
Sur l'hypocycloïde à trois rebroussements
Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.
The arithmetic of curves defined by iteration
We show how the size of the Galois groups of iterates of a quadratic polynomial f can be parametrized by certain rational points on the curves Cₙ: y² = fⁿ(x) and their quadratic twists (here fⁿ denotes the nth iterate of f). To that end, we study the arithmetic of such curves over global and finite fields, translating key problems in the arithmetic of polynomial iteration into a geometric framework. This point of view has several dynamical applications. For instance, we establish a maximality theorem...
The Arithmetic of Elliptic Curves.
The automorphism group of the modular curve