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Number of points of a nonsingular hypersurface in an odd-dimensional projective spaceopen access
- Authors
- Homma, Masaaki; Kim, Seon Jeong
- Issue Date
- Nov-2017
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Finite field; Hypersurface; Hermitian variety
- Citation
- FINITE FIELDS AND THEIR APPLICATIONS, v.48, pp 395 - 419
- Pages
- 25
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- FINITE FIELDS AND THEIR APPLICATIONS
- Volume
- 48
- Start Page
- 395
- End Page
- 419
- ISSN
- 1071-5797
1090-2465
- Abstract
- The numbers of 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. (C) 2017 Elsevier Inc. All rights reserved.
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