A TOWER OF ARTIN-SCHREIER EXTENSIONS OF FUNCTION-FIELDS ATTAINING THE DRINFELD-VLADUT BOUND

被引：223

作者：

GARCIA, A ^{[1
]}

STICHTENOTH, H ^{[1
]}

机构：

[1] UNIV ESSEN GESAMTHSCH,FACHBEREICH MATH & INFORMAT 6,D-45117 ESSEN,GERMANY

来源：

INVENTIONES MATHEMATICAE | 1995年 / 121卷 / 01期

关键词：

D O I：

10.1007/BF01884295

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an algebraic function field F having a finite constant field, let g(F) (resp. N(F)) denote the genus of F (resp. the number of places of F of degree one). We construct a tower of function fields F-1 subset of or equal to F-2 subset of or equal to F-3 subset of or equal to... over F-q2 such that the ratio N(F-i)/g(F-i) tends to the Drinfeld-Vladut bound q - 1.

引用

页码：211 / 222

页数：12