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.
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页码：425 / 433
页数：9
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