A note on Nullstellensatz over finite fields

被引：12

作者：

Ghorpade, Sudhir R. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India

来源：

CONTRIBUTIONS IN ALGEBRA AND ALGEBRAIC GEOMETRY | 2019年 / 738卷

关键词：

Nullstellensatz; finite field; vanishing ideal; affine space; projective space; footprint; REED-MULLER CODES; PROOF;

D O I：

10.1090/conm/738/14876

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：23 / 32

页数：10