Hilbert schemes for quantum planes are projective

TL;DR

This paper proves that the Hilbert schemes associated with quantum planes possess the property of being projective, extending classical geometric concepts into the quantum algebra setting.

Contribution

It establishes the projectivity of Hilbert schemes for quantum planes, a significant step in understanding their geometric and algebraic structure.

Findings

Hilbert schemes for quantum planes are projective.

Extension of classical geometric properties to quantum algebra.

Foundation for further geometric analysis of quantum spaces.

Abstract

We show that Hilbert schemes for quantum planes are projective.