Everywhere ramified towers of global function fields
Number Theory
2008-10-17 v1 Algebraic Geometry
Abstract
We consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a finite limit. We also construct a tower in which every place ramifies and the sequence N_i/[F_i:F_0] has a positive limit, where N_i is the number of degree-one places of F_i. These towers answer questions posed by Stichtenoth.
Keywords
Cite
@article{arxiv.0810.2842,
title = {Everywhere ramified towers of global function fields},
author = {Iwan Duursma and Bjorn Poonen and Michael Zieve},
journal= {arXiv preprint arXiv:0810.2842},
year = {2008}
}
Comments
5 pages. This paper was published in 2004. I post it now for greater accessibility