Complete intersection vanishing ideals on sets of clutter type over finite fields

TL;DR

This paper classifies complete intersection vanishing ideals on parameterized sets of clutter type over finite fields, providing a comprehensive understanding of their algebraic structure.

Contribution

It offers a novel classification of such ideals, advancing the theoretical understanding of algebraic geometry over finite fields.

Findings

Complete classification of these vanishing ideals.

Identification of conditions for ideals to be complete intersections.

Enhanced understanding of algebraic structures over finite fields.

Abstract

In this paper we give a classification of complete intersection vanishing ideals on parameterized sets of clutter type over finite fields.