论文标题
一项关于递归塔和Ihara常数的调查
A survey on recursive towers and Ihara's constant
论文作者
论文摘要
自从塞雷(Serre)于1985年在有限领域定义的代数曲线理论的各个方面进行了他著名的哈佛讲座以来,有许多发展。在这篇调查文章中,将在有关数量$ a(q)$的开发方面进行概述,称为ihara的常数。主要重点将放在有限场上的显式技术上,特别是递归定义的功能场塔,这在过去为Ihara的常数提供了良好的下限。
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 $A(q)$, 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.