Complex-analytic structures on moment-angle manifolds
By T. Panov, Yuri Ustinovsky. 2010
52 citations recorded by the source corpus.
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.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/e95877aa0607221ba6a1b8b35bbae4ed2cfde77b
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- Toric Topology (2012, methodology): “Using the construction of a complex structure on ZK described in the previous section, in [210] holomorphic (Seifert) fibrations with total space ZK were defined for arbitrary complete rational simplicial fans Σ.”