3 papers
math.NT2008
Sur le corps des modules de certaines variétés
Jean-Marc Couveignes, Emmanuel Hallouin
To every covering of curves, we associate several varieties having the same field of moduli and same fields of definition. We deduce examples of curves having Q (the field of ratio…
math.NT2007
Quelques mathématiques de la cryptographie à clés publiques
Jean-Marc Couveignes
I present examples of mathematical objects that are of interest for public key cryptography. Text for the Journée Annuelle 2007 of the SMF.
math.NT2006
Jacobiens, jacobiennes et stabilité numérique
Jean-Marc Couveignes
This paper is concerned with the complexity and stability of arithmetic operations in the jacobian variety of curves over the field of complex numbers, as the genus grows to infini…