6 citations · 15 across the 16 of their papers we have counts for
16 papers
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…
On Hermitian varieties in
Angela Aguglia, Luca Giuzzi, Masaaki Homma
In this paper we characterize the non-singular Hermitian variety of , among the irreducible hypersurfaces of degree in $\m…
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…