2 citations · 2 across the 2 of their papers we have counts for
3 papers
Spanning the isogeny class of a power of an ordinary elliptic curve over a finite field. Application to the number of rational points of curves of genus
Markus Kirschmer, Fabien Narbonne, Christophe Ritzenthaler +1
Let be an ordinary elliptic curve over a finite field and be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of p…
Computing isogenies from modular equations in genus two
Jean Kieffer, Aurel Page, Damien Robert
We present an algorithm solving the following problem: given two genus 2 curves over a field k with isogenous Jacobians, compute such an isogeny explicitly. This isogeny can be eit…
Cyclic Isogenies for Abelian Varieties with Real Multiplication
Alina Dudeanu, Dimitar Jetchev, Damien Robert +1
We study quotients of principally polarized abelian varieties with real multiplication by Galois-stable finite subgroups and describe when these quotients are principally polarizab…