A Note on Nullstellensatz over Finite Fields
Commutative Algebra
2018-06-28 v2
Abstract
We give an expository account of Nullstellensatz-like results when the base field is finite. In particular, we discuss the vanishing ideal of the affine space and of the projective space over a finite field. As an application, we include an alternative proof of Ore's inequality for the number of points of affine hypersurfaces over finite fields.
Cite
@article{arxiv.1806.09489,
title = {A Note on Nullstellensatz over Finite Fields},
author = {Sudhir R. Ghorpade},
journal= {arXiv preprint arXiv:1806.09489},
year = {2018}
}
Comments
9 pages; an expository article with minor typos corrected