A model for the orbifold Chow ring of weighted projective spaces

TL;DR

This paper establishes a mathematical isomorphism linking the orbifold Chow ring of weighted projective spaces with algebraic structures derived from roots of unity, advancing understanding in algebraic geometry.

Contribution

It introduces a novel isomorphism between the orbifold Chow ring of weighted projective spaces and graded algebras of roots of unity.

Findings

Explicit isomorphism constructed

Bridges orbifold Chow rings with root of unity algebras

Enhances algebraic understanding of weighted projective spaces

Abstract

We construct an isomorphism of graded Frobenius algebras between the orbifold Chow ring of weighted projective spaces and graded algebras of groups of roots of the unity.