Notes on an Analogue of the Fontaine-Mazur Conjecture

Authors

Joshua Holden, Rose-Hulman Institute of TechnologyFollow
Jeffrey D. Achter, Columbia University

Document Type

Article

Publication Date

2003

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.

External Access URL

https://arxiv.org/pdf/math/0105087.pdf

Recommended Citation

Achter, J. D., & Holden, J. (2003). Notes on an analogue of the Fontaine-Mazur conjecture. Journal de Theorie des Nombres de Bordeaux, 15(3), 627-637. https://arxiv.org/pdf/math/0105087.pdf