GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 31-37.

GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

赵健强

Dept. of Math., Univ. of Sci. & Tech. of China, Hefei 250026, China

收稿日期:1993-12-30 出版日期:1996-03-25 发布日期:1996-03-25
基金资助:
This work was done at USTC when the author was a graduate student in a special program of Nankai University.

GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

Zhao Jianqiang

Dept. of Math., Univ. of Sci. & Tech. of China, Hefei 250026, China

Received:1993-12-30 Online:1996-03-25 Published:1996-03-25
Supported by:
This work was done at USTC when the author was a graduate student in a special program of Nankai University.

摘要/Abstract

摘要： For a finite abelian tame extension L/F_q(T), we will determine its genus field and conductor in this paper, and prove the existence theorems of the relative integral bases for L over any of its subfields.

关键词: Genus field, relative integral base, abelian funciton field

Abstract: For a finite abelian tame extension L/F_q(T), we will determine its genus field and conductor in this paper, and prove the existence theorems of the relative integral bases for L over any of its subfields.

Key words: Genus field, relative integral base, abelian funciton field

赵健强. GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS[J]. 数学物理学报(英文版), 1996, 16(1): 31-37.

Zhao Jianqiang. GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS[J]. Acta mathematica scientia,Series B, 1996, 16(1): 31-37.

GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

GENUS FIELDS, CONDUCTORS AND RELATIVE INTEGRAL BASES FOR ABELIAN FUNCTION FIELDS

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