A bound on the number of points of a plane curve

被引：14

作者：

Sziklai, Peter ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Comp Sci, H-1117 Budapest, Hungary

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

plane curve; projective plane;

D O I：

10.1016/j.ffa.2007.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A conjecture is formulated for an upper bound on the number of points in PG(2, q) of a plane curve without linear components, defined over GF(q). We prove a new bound which is half-way from the known bound to the conjectured one. The conjecture is true for curves of low or high degree, or with rational singularity. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：41 / 43

页数：3

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