Genus fields of abelian extensions of rational congruence function fields

被引：13

作者：

Maldonado-Ramirez, Myriam ^{[1
]}

Rzedowski-Calderon, Martha ^{[2
]}

Villa-Salvador, Gabriel ^{[2
]}

机构：

[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Dept Matemat, Mexico City 07000, DF, Mexico

[2] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Automat Control, Mexico City 07000, DF, Mexico

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2013年 / 20卷

关键词：

Genus fields; Congruence function fields; Global fields; Dirichlet characters; Cyclotomic function fields; Kummer extensions; Artin-Schreier extensions; Witt vectors;

D O I：

10.1016/j.ffa.2012.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a construction of genus fields for congruence function fields. First we consider the cyclotomic function field case following the ideas of Leopoldt and then the general case. As applications we give explicitly the genus fields of Kummer, Artin-Schreier and cyclic p-extensions. Kummer extensions were obtained previously by G. Peng and Artin-Schreier extensions were obtained by S. Hu and Y. Li. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：40 / 54

页数：15

共 15 条

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