LOWER BOUNDS ON THE NUMBER OF RATIONAL POINTS OF JACOBIANS OVER FINITE FIELDS AND APPLICATION TO ALGEBRAIC FUNCTION FIELDS IN TOWERS

被引：2

作者：

Ballet, S. ^{[1
]}

Rolland, R. ^{[1
]}

Tutdere, S. ^{[2
]}

机构：

[1] Aix Marseille Univ, CNRS, Cent Marseille, I2M,UMR 7373, F-13453 Marseille, France

[2] Gebze Inst Technol, Dept Math, Gebze, Kocaeli, Turkey

来源：

MOSCOW MATHEMATICAL JOURNAL | 2015年 / 15卷 / 03期

关键词：

PHRASES. Finite field; Jacobian; algebraic function field; class number; tower;

D O I：

10.17323/1609-4514-2015-15-3-425-433

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give effective bounds on the class number of any algebraic function field of genus g defined over a finite field. These bounds depend on the possibly partial information on the number of places on each degree r <= g. Such bounds are especially useful for estimating the class numbers of function fields in towers of function fields over finite fields having several positive Isfasman-Vladut invariants.

引用

页码：425 / 433

页数：9

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