Reflection theorem for divisor class groups of relative quadratic function fields

被引：1

作者：

Lee, Yoonjin ^{[1
]}

机构：

[1] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 07期

基金：

加拿大自然科学与工程研究理事会;

关键词：

reflection theorem; divisor class group; rank of divisor class group; ideal class group; quadratic function field;

D O I：

10.1016/j.jnt.2007.08.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the reflection theorem for divisor class groups of relative quadratic function fields. Let K be a global function field with constant field F-q. Let L-1 be a quadratic geometric extension of K and let L-2 be its twist by the quadratic constant field extension of K. We show that for every odd integer in that divides q + 1 the divisor class groups of L-1 and L-2 have the same m-rank. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：2127 / 2137

页数：11