Non-singular points on Hypersurfaces over $\mathbb{F}_{q}$

Details Non-singular points on Hypersurfaces over $\mathbb{F}_{q}$ Non-singular points on Hypersurfaces over $\mathbb{F}_{q}$

2010-01-05

arxiv.org/abs/1001.0684v2

Mathematics

Number Theory

8 pages

Scientific paper

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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