2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61446We estimate the proportion of function fields satisfying certain conditions which imply a function-field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the fraction of abelian varieties (or even Jacobians) over a finite field which have a rational point of order l.12 pages; minor revisions according to referees' commentsNumber TheoryAlgebraic Geometrytext