An elementary bound for the number of points of a hypersurface over a finite field (Summary) |
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| Affiliation: | 1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel;2. Deptartment of Mathematics, 530 Church St., University of Michigan, Ann Arbor 48109, USA |
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| Abstract: | This short note is a summary of our paper with the same title [M. Homma and S. J. Kim, An elementary bound for the number of points of a hypersurface over a finite field, preprint 2012]. We establish an upper bound for the number of points of a hypersurface without a linear component over a finite field, which is analogous to the Sziklai bound for a plane curve. |
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| Keywords: | Hypersurface Finite field Number of points |
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