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

collaborators

Showing 2014 · math.AGShow all

3 papers · 2 filters

math.AG2014★ 1 cited

Numbers of points of hypersurfaces without lines over finite fields

Masaaki Homma

We give an upper bound for the number of points of a hypersurface over a finite field that has no lines on, in terms of the dimension, the degree, and the number of the elements of…

math.AG2014★ 1 cited

Numbers of points of surfaces in the projective $3$ -space over finite fields

Masaaki Homma, Seon Jeong Kim

In the previous paper, we established an elementary bound for numbers of points of surfaces in the projective $3$ -space over $F_{q}$ . In this paper, we give the complete list…

math.AG2014★ 1 cited

A bound for the number of lines lying on a nonsingular surface in $3$ -space over a finite field

Masaaki Homma, Seon Jeong Kim

A nonsingular surface of degree $d \geq 2$ in $P^{3}$ over $F_{q}$ has at most $((d - 1) q + 1) d$ $F_{q}$ -lines, and this bound is optimal for $d = 2, \sqrt{q}+1, q…

Numbers of points of hypersurfaces without lines over finite fields

Numbers of points of surfaces in the projective 3-space over finite fields

A bound for the number of lines lying on a nonsingular surface in 3-space over a finite field

Numbers of points of surfaces in the projective $3$ -space over finite fields

A bound for the number of lines lying on a nonsingular surface in $3$ -space over a finite field