Points on singular Frobenius nonclassical curves

被引：8

作者：

Borges, Herivelto ^{[1
]}

Homma, Masaaki ^{[2
]}

机构：

[1] Univ Sao Paulo, ICMC, Sao Carlos, Brazil

[2] Kanagawa Univ, Dept Math & Phys, Hiratsuka, Kanagawa 2591293, Japan

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2017年 / 48卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Algebraic curve; Frobenius nonclassical curve; Finite Field;

D O I：

10.1007/s00574-016-0008-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1990, Hefez and Voloch proved that the number of F-q-rational points on a nonsingular plane q-Frobenius nonclassical curve of degree d is N = d(q - d+2). We address these curves in the singular setting. In particular, we prove that d( q - d+ 2) is a lower bound on the number of F-q - rational points on such curves of degree d.

引用

页码：93 / 101

页数：9

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