Notes on an analogue of the Fontaine-Mazur conjecture
Jeffrey D. Achter, Joshua Holden
Abstract
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.
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