Non-vanishing forms in projective space over finite fields

TL;DR

This paper investigates bounds on the minimal degree of non-vanishing forms in projective space over finite fields, providing insights into algebraic structures over finite fields.

Contribution

It introduces new bounds for the minimal degree of non-vanishing forms relative to subsets of projective space over finite fields.

Findings

Derived bounds on minimal degrees of non-vanishing forms

Enhanced understanding of algebraic forms over finite fields

Potential applications in finite field geometry

Abstract

We consider a subset of projective space over a finite field and give bounds on the minimal degree of a non-vanishing form with respect to this subset.