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- W3048367083 abstract "For a non-degenerate irreducible curve $C$ of degree $d$ in $mathbb{P}^3$ over $mathbb{F}_q$, we prove that the number $N_q(C)$ of $mathbb{F}_q$-rational points of $C$ satisfies the inequality $N_q(C) leq (d-2)q+1$. Our result improves the previous bound $N_q(C) leq (d-1)q+1$ obtained by Homma in 2012 and leads to a natural conjecture generalizing Sziklai's bound for the number of points of plane curves over finite fields." @default.
- W3048367083 created "2020-08-18" @default.
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- W3048367083 date "2020-08-13" @default.
- W3048367083 modified "2023-09-27" @default.
- W3048367083 title "A bound for the number of points of space curves over finite fields" @default.
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