F. Narbonne

collaborators

2 papers

math.NT2022

Polarized products of elliptic curves with complex multiplication and field of moduli $Q$

Fabien Narbonne

Let $R$ be the maximal order in a quadratic imaginary field $K$ . We give an equivalence of categories between the category of polarized abelian varieties isomorphic to a product of…

math.NT2020

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 $\leq 4$

Markus Kirschmer, Fabien Narbonne, Christophe Ritzenthaler +1

Let $E$ be an ordinary elliptic curve over a finite field and $g$ be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of p…

Polarized products of elliptic curves with complex multiplication and field of moduli Q

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 ≤4

Polarized products of elliptic curves with complex multiplication and field of moduli $Q$

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 $\leq 4$