Notes on an analogue of the Fontaine-Mazur conjecture

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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.
12 pages; minor revisions according to referees' comments

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/61446

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105087
 http://arxiv.org/abs/math/0105087
 Journal de Theorie des Nombres de Bordeaux, 15:627--637, 2003

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arXiv