J. Gillibert

activity

20092026

most citedCounting Number Fields in Fibers

3 citations · 16 across the 21 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.NT2023

Arithmetic rank bounds for abelian varieties over function fields

Félix Baril Boudreau, Jean Gillibert, Aaron Levin

It follows from the Grothendieck-Ogg-Shafarevich formula that the rank of an abelian variety (with trivial trace) defined over the function field of a curve is bounded by a quantit…

math.AG2023

Integral points on elliptic curves with $j$ -invariant $0$ over $k (t)$

Jean Gillibert, Emmanuel Hallouin, Aaron Levin

We consider elliptic curves defined by an equation of the form $y^{2} = x^{3} + f (t)$ , where $f \in k [t]$ has coefficients in a perfect field $k$ of characteristic not $2$ or $3$ . By perfor…

Arithmetic rank bounds for abelian varieties over function fields

Integral points on elliptic curves with j-invariant 0 over k(t)

Integral points on elliptic curves with $j$ -invariant $0$ over $k (t)$