Classification of algebraic function fields with class number one

被引：4

作者：

Mercuri, Pietro

Stirpe, Claudio

机构：

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 154卷

关键词：

Class numbers; Class field theory;

D O I：

10.1016/j.jnt.2015.02.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite fields with class number one and positive genus. This classification was already suggested, although not completely proved, in a previous work about this topic (see Stirpe [7]). (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：365 / 374

页数：10

共 7 条

[1] Ray class fields of global function fields with many rational places [J].