Christelle Vincent

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math.NT2026

Minimal degree of an isogeny between a supersingular elliptic curve and its conjugate

Yves Aubry, Roger Oyono, Christelle Vincent

Let $E$ be a supersingular elliptic curve defined over $F ˉ_{p}$ and $E^{(p)}$ be its conjugate. We give a bound on the minimal degree of an isogeny from $E$ to $E^{(p)}…

math.NT2026

Inseparable endomorphisms and rank-2 sublattices of the Gross lattice

Yves Aubry, Christelle Vincent

We answer a question posed by Love asking about a correspondence between isogenies from a supersingular elliptic curve to its Frobenius base-change and rank-2 sublattices of its Gr…

math.NT2026

Ordinary abelian varieties: isogeny graphs and polarizations

Edgar Costa, Taylor Dupuy, Stefano Marseglia +2

Given an integer $D$ and an ordinary isogeny class of abelian varieties defined over a finite field $F_{q}$ with commutative $F_{q}$ -endomorphism algebra, we provide…

math.NT2025

Gross lattices of supersingular elliptic curves

Chenfeng He, Gaurish Korpal, Ha T. N. Tran +1

Let $p$ be a prime, $E$ be a supersingular elliptic curve defined over $F ˉ_{p}$ , and $O$ be its (geometric) endomorphism ring. Earlier results of Chevyrev-Gal…

math.NT2025

Labeling abelian varieties over finite fields

Edgar Costa, Taylor Dupuy, Stefano Marseglia +2

We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism a…