Good families of Drinfeld modular curves

被引：0

作者：

Bassa, Alp ^{[1
]}

Beelen, Peter ^{[2
]}

Nhut Nguyen ^{[2
]}

机构：

[1] Bogazici Univ, Dept Math, Fac Arts & Sci, TR-34342 Bebek, Turkey

[2] Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark

来源：

LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2015年 / 18卷 / 01期

基金：

新加坡国家研究基金会; 美国国家科学基金会;

关键词：

TOWERS; NUMBER; POINTS;

D O I：

10.1112/S146115701500025X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate examples of good and optimal Drinfeld modular towers of function fields. Surprisingly, the optimality of these towers has not been investigated in full detail in the literature. We also give an algorithmic approach for obtaining explicit defining equations for some of these towers and, in particular, give a new explicit example of an optimal tower over a quadratic finite field.

引用

页码：699 / 712

页数：14

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