A bound on the number of points of a curve in projective space over a finite field

Details A bound on the number of points of a curve in projective space over a finite field A bound on the number of points of a curve in projective space over a finite field

2011-08-25

arxiv.org/abs/1108.4975v1

Mathematics

Algebraic Geometry

9 pages, presented at the Fq10 conference

Scientific paper

For a nondegenerate irreducible curve $C$ of degree $d$ in ${\Bbb P}^r$ over
${\Bbb F}_q$ with $r \geq 3$, we prove that the number $N_q(C)$ of ${\Bbb
F}_q$-points of $C$ satisfies the inequality $N_q(C) \leq (d-1)q +1$, which is
known as Sziklai's bound if $r=2$.

Affiliated with

Also associated with

No associations

Rating

A bound on the number of points of a curve in projective space over a finite field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A bound on the number of points of a curve in projective space over a finite field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A bound on the number of points of a curve in projective space over a finite field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318405