Numbers of points of hypersurfaces without lines over finite fields
Algebraic Geometry
2014-10-14 v1
Abstract
We give an upper bound for the number of points of a hypersurface over a finite field that has no lines on, in terms of the dimension, the degree, and the number of the elements of the finite field.
Cite
@article{arxiv.1410.3174,
title = {Numbers of points of hypersurfaces without lines over finite fields},
author = {Masaaki Homma},
journal= {arXiv preprint arXiv:1410.3174},
year = {2014}
}
Comments
8 pages, submitted to to the Fq11 proceedings