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arXiv · 1008.4764

Complex-analytic structures on moment-angle manifolds

Taras Panov·Yuri Ustinovsky
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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.

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Taras Panov, Yuri Ustinovsky. 2012-04-27. Complex-analytic structures on moment-angle manifolds. https://arxiv.org/abs/1008.4764

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