Florence Gillibert

activity

20102026

collaborators

6 papers

math.NT2026

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…

math.NT2018

Selmer groups are intersection of two direct summands of the adelic cohomology

Florence Gillibert, Jean Gillibert, Pierre Gillibert +1

We give a positive answer to a Conjecture by Manjul Bhargava, Daniel M. Kane, Hendrik W. Lenstra Jr., Bjorn Poonen and Eric Rains, concerning the cohomology of torsion subgroups of…

math.NT2017

On the local-global divisibility over $GL_{2}$ -type varieties

Florence Gillibert, Gabriele Ranieri

Let $k$ be a number field and let $A$ be a $GL_{2}$ -type variety defined over $k$ of dimension $d$ . We show that for every prime number $p$ satisfying certain condi…

math.NT2016

On the local-global divisibility over abelian varieties

Florence Gillibert, Gabriele Ranieri

Let $p \geq 2$ be a prime number and let $k$ be a number field. Let $A$ be an abelian variety defined over $k$ . We prove that if ${\rm Gal} ( k ( {\mathcal{A}}[p] ) / k )…

math.NT2016

On the local-global divisibility of torsion points on elliptic curves and $GL_{2}$ -type varieties

Florence Gillibert, Gabriele Ranieri

Let $p$ be a prime number and let $k$ be a number field. Let $E$ be an elliptic curve defined over $k$ . We prove that if $p$ is odd, then the local-global divisibility by any power…

math.NT2010

Points rationnels sur les quotients d'Atkin-Lehner de courbes de Shimura de discriminant $pq$

Florence Gillibert

Let $p$ and $q$ be two distinct prime numbers, and $X^{pq} / w_{q}$ be the quotient of the Shimura curve of discriminant $pq$ by the Atkin-Lehner involution $w_{q}$ . We describe a way to…

On the Chevalley-Bass number of a field

Selmer groups are intersection of two direct summands of the adelic cohomology

On the local-global divisibility over GL2​-type varieties

On the local-global divisibility over abelian varieties

On the local-global divisibility of torsion points on elliptic curves and GL2​-type varieties

Points rationnels sur les quotients d'Atkin-Lehner de courbes de Shimura de discriminant pq

On the local-global divisibility over $GL_{2}$ -type varieties

On the local-global divisibility of torsion points on elliptic curves and $GL_{2}$ -type varieties

Points rationnels sur les quotients d'Atkin-Lehner de courbes de Shimura de discriminant $pq$