Towards a characterization of the inverse systems of complete intersections

TL;DR

This paper investigates conditions on homogeneous polynomials that ensure the associated graded Artin algebra is a complete intersection, contributing to the understanding of inverse systems in algebraic geometry.

Contribution

It provides new criteria for when the inverse systems of complete intersections correspond to certain homogeneous polynomials.

Findings

Identifies specific conditions on polynomials for complete intersection properties

Characterizes inverse systems of complete intersections in graded Artin algebras

Advances theoretical understanding of algebraic structures related to complete intersections

Abstract

In this paper we give conditions on a homogeneous polynomial for which the associated graded Artin algebra is a complete intersection.