Hodge structures Orbifold hodge numbers and a correspondence in Quasitoric Orbifolds

TL;DR

This paper extends Hodge structures to quasitoric orbifolds, defining orbifold Hodge numbers and establishing a correspondence for crepant resolutions, thus broadening the understanding of Hodge theory in non-complex settings.

Contribution

It introduces Hodge structures on quasitoric orbifolds and establishes a correspondence of orbifold Hodge numbers for crepant resolutions, extending classical Hodge theory.

Findings

Defined orbifold Hodge numbers for quasitoric orbifolds

Established a correspondence for crepant resolutions

Extended Hodge structures to non-complex settings

Abstract

We give hodge structures on quasitoric orbifolds. We define orbifold hodge numbers and show a correspondence of orbifold hodge numbers for crepant resolutions of quasitoric orbifolds. In short we extend hodge structures to a non complex setting .