M. Homma

activity

20092022

most citedNonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini

6 citations · 15 across the 16 of their papers we have counts for

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Showing 2011 · math.AGShow all

2 papers · 2 filters

math.AG2011★ 2 cited

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

Masaaki Homma

For a nondegenerate irreducible curve $C$ of degree $d$ in $P^{r}$ over $F_{q}$ with $r \geq 3$ , we prove that the number $N_{q} (C)$ of $F_{q}$ -points of $C$ satisfies…

math.AG2011

Rational curves with many rational points over a finite field

Satoru Fukasawa, Masaaki Homma, Seon Jeong Kim

We study a particular plane curve over a finite field whose normalization is of genus 0. The number of rational points of this curve achieves the Aubry-Perret bound for rational cu…