Paper Info
Title
A bound on the number of points of a plane curve
Abstract
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.
Year
DOI
Venue
2008
10.1016/j.ffa.2007.09.004
Finite Fields and Their Applications
Keywords
Field
DocType
linear component,high degree,rational singularity,plane curve,projective plane,upper bound,satisfiability,rational point
Discrete mathematics,Combinatorics,Rational singularity,Cubic plane curve,Upper and lower bounds,Plane curve,Quartic plane curve,Projective plane,Mathematics,Elliptic curve,Rational normal curve
Journal
Volume
Issue
ISSN
14
1
1071-5797
Citations 
PageRank 
References 
8
1.67
3
Authors
1
Name
Order
Citations
PageRank
Peter Sziklai1416.94