Computing class polynomials for abelian surfaces
Langue
en
Article de revue
Ce document a été publié dans
Experimental Mathematics. 2014, vol. 23, n° 2, p. 129-145
Taylor & Francis
Résumé en anglais
We describe a quasi-linear algorithm for computing Igusa class polynomials of Jacobians of genus 2 curves via complex floating-point approximations of their roots. After providing an explicit treatment of the computations ...Lire la suite >
Mots clés en anglais
Number theory
Complex Multiplication
Theta functions
Projet Européen
Algorithmic Number Theory in Computer Science