Courbes elliptiques et formes modulaires de poids 3/2
Courbes elliptiques et symboles modulaires
Courbes elliptiques, fonctions L , et tours cyclotomiques.
Courbes sur une variété abélienne
Courbes sur une variété abélienne et points de torsion.
Criteria for complex multiplication and transcendence properties of automorphic functions.
Critical and ramification points of the modular parametrization of an elliptic curve
Let be an elliptic curve defined over with conductor and denote by the modular parametrization:In this paper, we are concerned with the critical and ramification points of . In particular, we explain how we can obtain a more or less experimental study of these points.
Cubic theta relations.
Curves of genus g lying on a g-dimensional Jacobian variety.
Curves of minimal genus on a general abelian variety
Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes. (Rédigé par J. L. Brylinski)
De Abelianarum functionum periodis per aequationes differentiales definiendis [Book]
Decomposition of non-archimedean analytic tori
Decompositions of an Abelian surface and quadratic forms
When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit? We provide arithmetic formulae for the number of such decompositions.
Deformations of theta divisors and the rank 4 quadrics problem
Degenerations of Prym varieties and intersections of three quadrics.
Degrees of curves in abelian varieties
Denominators of Igusa class polynomials
In [22], the authors proved an explicit formula for the arithmetic intersection number on the Siegel moduli space of abelian surfaces, under some assumptions on the quartic CM field . These intersection numbers allow one to compute the denominators of Igusa class polynomials, which has important applications to the construction of genus curves for use in cryptography. One of the main tools in the proof was a previous result of the authors [21] generalizing the singular moduli formula of Gross...
Der Definitionskörper für den Zerfall einer abelschen Varietät mit komplexer Multiplikation.
Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen.