1 citations · 1 across the 7 of their papers we have counts for
11 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…
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…
Julia Robinson's Numbers
Pierre Gillibert, Gabriele Ranieri
We partially answer to a question of Vidaux and Videla by constructing an infinite family of rings of algebraic integers of totally real subfields of Q whose Julia Robinson's Numbe…
Counterexamples to the local-global divisibility over elliptic curves
Gabriele Ranieri
Let be a prime number. We find all the possible subgroups of such that there exists a number field and an elliptic cur…
On the local-global divisibility over -type varieties
Florence Gillibert, Gabriele Ranieri
Let be a number field and let be a -type variety defined over of dimension . We show that for every prime number satisfying certain condi…
On the local-global divisibility over abelian varieties
Florence Gillibert, Gabriele Ranieri
Let be a prime number and let be a number field. Let be an abelian variety defined over . We prove that if ${\rm Gal} ( k ( {\mathcal{A}}[p] ) / k )…