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Notes on an analogue of the Fontaine-Mazur conjecture

Jeffrey D. AchterJoshua Holden — 2003

Journal de théorie des nombres de Bordeaux

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 .

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