Computing the Canonical Lift of Genus 2 Curves in Odd Characteristics
Langue
en
Document de travail - Pré-publication
Résumé en anglais
Let A/Fq be an ordinary abelian surface. We explain how to use the Siegel modular polynomials, and if available the Hilbert modular polynomials to compute the canonical lift of A. As an application, if q = p n , we show ...Lire la suite >
Mots clés en anglais
Abelian variety
Arithmetic invariants of genus 2 curves
Modular polynomials
Canonical lift
Point counting
Project ANR
Cryptographie, isogenies et variété abéliennes surpuissantes - ANR-19-CE48-0008