A note on nullstellensatz over finite fields
Sudhir R. Ghorpade · DSpace (IIT Bombay) · 2019
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. © 2019 American Mathematical Society.