3 citations · 16 across the 21 of their papers we have counts for
23 papers
On the Chevalley-Bass number of a field
Jean Gillibert, Florence Gillibert, Gabriele Ranieri
We give upper and lower bounds on the Chevalley-Bass number of a field of characteristic zero, whenever this quantity is well-defined. We also describe an algorithm which computes…
Counting rational points on elliptic and hyperelliptic curves over function fields
Jean Gillibert, Emmanuel Hallouin, Aaron Levin
Combining -descent techniques with Riemann-Roch and Bézout's theorems, we give an upper bound on the number of rational points of bounded height on elliptic and hyperelliptic cu…
Triple Massey products for higher genus curves
Frauke M. Bleher, Ted Chinburg, Jean Gillibert
We study the vanishing of triple Massey products for absolutely irreducible smooth projective curves over a number field. For each genus and each prime , we const…
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…
Integral points on elliptic curves with -invariant over
Jean Gillibert, Emmanuel Hallouin, Aaron Levin
We consider elliptic curves defined by an equation of the form , where has coefficients in a perfect field of characteristic not or . By perfor…
Massey products and elliptic curves
Frauke M. Bleher, Ted Chinburg, Jean Gillibert
We study the vanishing of Massey products of order at least for absolutely irreducible smooth projective curves over a perfect field with coefficients in . We…