| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5771571 | Finite Fields and Their Applications | 2017 | 25 Pages |
Abstract
The numbers of Fq-points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. Also we give the complete list of nonsingular hypersurfaces each of which realizes the upper bound. This is a natural generalization of our previous study of surfaces in projective 3-space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Masaaki Homma, Seon Jeong Kim,