6 citations · 15 across the 16 of their papers we have counts for
15 papers · 1 filter
Filling curves for
Masaaki Homma, Seon Jeong Kim
We determine the minimal bi-degree(s) of an irreducible filling curve over for . It is if , and they are $(4,3…
On maximal plane curves of degree over ,and Sziklai's example of degree over
Masaaki Homma
The classification of maximal plane curves of degree over will be given, which complements Hirschfeld-Storme-Thas-Voloch's theorem on a characterization of Hermi…
A proof of Sørensen's conjecture on Hermitian surfaces
Peter Beelen, Mrinmoy Datta, Masaaki Homma
In this article we prove a conjecture formulated by A.B. Soerensen in 1991 on the maximal number of -rational points on the intersection of a non-degenerate Hermi…
Fragments of plane filling curves of degree over the finite field of elements, and of affine-plane filling curves of degree
Masaaki Homma
Nonsingular plane curves over a finite field of degree passing through all the -points of the plane admita representation by matrices…
Number of points of a nonsingular hypersurface in an odd-dimensional projective space
Masaaki Homma, Seon Jeong Kim
The numbers of -points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. A…
Points on singular Frobenius nonclassical curves
Herivelto Borges, Masaaki Homma
In 1990, Hefez and Voloch proved that the number of -rational points on a nonsingular plane -Frobenius nonclassical curve of degree is . We address these…