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

被引：217

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

共 15 条

[1] Goppa V.D., 1981, SOV MATH DOKL, V24, P170
[2] GOPPA VD, 1983, MATH USSR IZV, V21, P75
[3] IHARA Y, 1981, J FS TOKYO, V28, P721
[4] MANIN YI, 1985, J SOVIET MATH, V30, P2611
[5] Manin YI., 1981, J FAC SCI U TOKYO IA, V28, P715
[6] Moreno C., 1991, CAMBRIDGE TRACTS MAT, V97
[7] RUCK HG, 1994, J REINE ANGEW MATH, V457, P155
[8] ALGEBRAIC-CURVES OVER F2 WITH MANY RATIONAL-POINTS
SCHOOF, R
[J]. JOURNAL OF NUMBER THEORY, 1992, 41 (01) : 6 - 14
[9] Serre Jean-Pierre, 1984, ANNUAIRE COLL FRANCE, V128, P79
[10] SERRE JP, 1983, CR ACAD SCI I-MATH, V296, P397

← 1 2 →