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 2015Show all

2 papers · 1 filter

math.AG2015★ 1 cited

Points on singular Frobenius nonclassical curves

Herivelto Borges, Masaaki Homma

In 1990, Hefez and Voloch proved that the number of $F_{q}$ -rational points on a nonsingular plane $q$ -Frobenius nonclassical curve of degree $d$ is $N = d (q - d + 2)$ . We address these…

math.AG2015★ 1 cited

The second largest number of points of plane curves over finite fields

Masaaki Homma, Seon Jeong Kim

A basis of the ideal of the complement of a linear subspace in a projective space over a finite field is given. As an application, the second largest number of points of plane curv…