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Notes on an analogue of the Fontaine-Mazur conjecture

Jeffrey D. Achter·Joshua Holden
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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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Jeffrey D. Achter, Joshua Holden. 2004-03-27. Notes on an analogue of the Fontaine-Mazur conjecture. https://arxiv.org/abs/math/0105087

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