Adapted differentials as a qfh-sheaf

TL;DR

This paper introduces a novel perspective on differential forms in Campana's geometric orbifolds by modeling them as a qfh-sheaf, simplifying the handling of coverings in the process.

Contribution

It presents a new approach to differential forms on geometric orbifolds by using qfh-sheaves, eliminating the need for choosing coverings.

Findings

Provides a new sheaf-theoretic framework for differential forms on orbifolds.

Simplifies the study of differential forms by avoiding coverings.

Enhances the theoretical understanding of orbifold structures.

Abstract

We consider differential forms associated to Campana's geometric orbifolds from a new perspective, namely, as a qfh-sheaf on the variety underlying the geometric orbifold. This approach avoids having to choose a covering of the underlying variety, which is one of the drawbacks of a common way to work with these differential forms.