The distribution of class groups of function fields
Number Theory
2020-02-28 v2
Abstract
Using equidistribution results of Katz and a computation in finite symplectic groups, we give an explicit asymptotic formula for the proportion of curves C over a finite field for which the l-torsion of Jac(C) is isomorphic to a given abelian l-group. In doing so, we prove a conjecture of Friedman and Washington
Cite
@article{arxiv.math/0403084,
title = {The distribution of class groups of function fields},
author = {Jeff Achter},
journal= {arXiv preprint arXiv:math/0403084},
year = {2020}
}
Comments
To appear, JPAA