2001/05/31 by Jeffrey D. Achter, Joshua Holden
Mathematics · #math.NT #math.AG
published as Journal de Theorie des Nombres de Bordeaux, 15:627--637, 2003 · 12 pages; minor revisions according to referees' comments
arxiv created 2004/03/27 · arxiv updated 2009/11/30
We 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.