Notes on an analogue of the Fontaine-Mazur conjecture

Details Notes on an analogue of the Fontaine-Mazur conjecture Notes on an analogue of the Fontaine-Mazur conjecture

2001-05-10

arxiv.org/abs/math/0105087v2

Journal de Theorie des Nombres de Bordeaux, 15:627--637, 2003

Mathematics

Number Theory

12 pages; minor revisions according to referees' comments

Scientific paper

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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