A survey on recursive towers and Ihara's constant
Number Theory
2022-03-08 v1 Algebraic Geometry
Abstract
Since Serre gave his famous Harvard lectures in 1985 on various aspects of the theory of algebraic curves defined over a finite field, there have been many developments. In this survey article, an overview will be given on the developments concerning the quantity , known as Ihara's constant. The main focus will be on explicit techniques and in particular recursively defined towers of function fields over a finite field, which have given good lower bounds for Ihara's constant in the past.
Cite
@article{arxiv.2203.03310,
title = {A survey on recursive towers and Ihara's constant},
author = {Peter Beelen},
journal= {arXiv preprint arXiv:2203.03310},
year = {2022}
}