Class number one problem for imaginary function fields:: The cyclic prime power case

被引：3

作者：

Sémirat, S ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05, France

来源：

JOURNAL OF NUMBER THEORY | 2000年 / 84卷 / 01期

关键词：

D O I：

10.1006/jnth.2000.2535

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine all finite separable imaginary extensions K/F-q(x) whose maximal order is a principal ideal domain in case F/F-q(x) is a non zero genus cyclic extension of prime power degree. There exist exactly 42 such extensions, among which 7 are non isomorphic over F-q. (C) 2000 Academic Press.

引用

页码：166 / 183

页数：18

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