On Hodge structures of quasitoric orbifolds

Saibal Ganguli

doi:10.4134/JKMS.j160005

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J. Korean Math. Soc. 2017; 54(3): 733-748

Online first article March 14, 2017 Printed May 1, 2017

https://doi.org/10.4134/JKMS.j160005

On Hodge structures of quasitoric orbifolds

Saibal Ganguli

Harish-Chandra Research Institute Chhatnag Road

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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 almost complex setting.

Keywords: Hodge structures, orbifold, quasitoric, projective toric

MSC numbers: Primary 57R18; Secondary 55N32, 32S35, 52B20, 58A14, 55N10, 14M25