Notes on an analogue of the Fontaine-Mazur conjecture
Number Theory
2007-05-23 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0105087,
title = {Notes on an analogue of the Fontaine-Mazur conjecture},
author = {Jeffrey D. Achter and Joshua Holden},
journal= {arXiv preprint arXiv:math/0105087},
year = {2007}
}
Comments
12 pages; minor revisions according to referees' comments