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Numbers of points of surfaces in the projective 3-space over finite fieldsopen access
- Authors
- Homma, Masaaki; Kim, Seon Jeong
- Issue Date
- Sep-2015
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Finite field; Surface; Number of points
- Citation
- FINITE FIELDS AND THEIR APPLICATIONS, v.35, pp 52 - 60
- Pages
- 9
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- FINITE FIELDS AND THEIR APPLICATIONS
- Volume
- 35
- Start Page
- 52
- End Page
- 60
- ISSN
- 1071-5797
1090-2465
- Abstract
- In the previous paper, we established an elementary bound for numbers of points of surfaces in the projective 3-space over Fq. In this paper, we give the complete list of surfaces that attain the elementary bound. Precisely those surfaces are the hyperbolic surface, the nonsingular Hermitian surface, and the surface of minimum degree containing all F-q-points of the 3-space. (C) 2015 Elsevier Inc. All rights reserved.
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