Non-singular points on Hypersurfaces over $\mathbb{F}_{q}$
Number Theory
2010-04-26 v2 Algebraic Geometry
Abstract
We survey a number of results on the counting of points on hypersurfaces defined over finite fields. We also investigate when one can be guaranteed a non-singular point on a projective hypersurface and give a condition on the cardinality of the ambient field to achieve this.
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Cite
@article{arxiv.1001.0684,
title = {Non-singular points on Hypersurfaces over $\mathbb{F}_{q}$},
author = {Jahan Zahid},
journal= {arXiv preprint arXiv:1001.0684},
year = {2010}
}
Comments
8 pages