Work

Complex-Analytic Structures on Moment-Angle Manifolds

Year: 2012

Type: article

Abstract: We show that the moment-angle manifolds corresponding to complete simplicial fans admit non-Kaehler complex-analytic structures. This generalises the known construction of complex-analytic structures on polytopal moment-angle manifolds, coming from identifying them as LVM-manifolds. We proceed by describing Dolbeault cohomology and some Hodge numbers of moment-angle manifolds by applying the Borel spectral sequence to holomorphic principal bundles over toric varieties.

Source: Moscow Mathematical Journal

DOI: 10.17323/1609-4514-2012-12-1-149-172

Authors: T. Panov, Yu. Ustinovsky

Institutions: Russian Academy of Sciences, Lomonosov Moscow State University, Institute for Information Transmission Problems, Institute for Theoretical and Experimental Physics

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2963391876

FWCI: 5.502

Cites: 26

Cited by: 42

Related to: 10