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arXiv · 2203.03310

A survey on recursive towers and Ihara's constant

Peter Beelen
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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 $A(q)$, 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.

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Peter Beelen. 2022-03-07. A survey on recursive towers and Ihara's constant. https://arxiv.org/abs/2203.03310

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