Number of points of a nonsingular hypersurface in an odd-dimensional projective space
| Autor: | Masaaki Homma, Seon Jeong Kim |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Collineation Applied Mathematics Complex projective space 010102 general mathematics Mathematical analysis General Engineering 0102 computer and information sciences 01 natural sciences Upper and lower bounds Theoretical Computer Science Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Hypersurface 010201 computation theory & mathematics FOS: Mathematics Projective space 14G15 14N05 14J70 0101 mathematics Quaternionic projective space Algebraic Geometry (math.AG) Pencil (mathematics) Mathematics Twisted cubic |
| Zdroj: | Finite Fields and Their Applications. 48:395-419 |
| ISSN: | 1071-5797 |
| DOI: | 10.1016/j.ffa.2017.08.011 |
| Popis: | The numbers of $\mathbb{F}_q$-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. 23 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect