6 citations · 13 across the 10 of their papers we have counts for
10 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…
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…
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…
Numbers of points of surfaces in the projective -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 -space over . In this paper, we give the complete list…
A bound for the number of lines lying on a nonsingular surface in -space over a finite field
Masaaki Homma, Seon Jeong Kim
A nonsingular surface of degree in over has at most -lines, and this bound is optimal for $d = 2, \sqrt{q}+1, q…
Weierstrass semigroups on double covers of genus four curve
S. J. Kim, J. Komeda
Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramificati…