Complex-analytic structures on moment-angle manifolds

zbMath1257.32019arXiv1008.4764MaRDI QIDQ4902650

Yu. M. Ustinovskii, Taras E.Panov

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1008.4764

zbMATH Keywords

Dolbeault cohomologycomplex structuresimple polytopeHodge numbersmoment-angle manifoldsimplicial fan

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Compact complex (n)-folds (32J18) Topological aspects of complex manifolds (32Q55) Holomorphic bundles and generalizations (32L05) Algebraic topology on manifolds and differential topology (57R19)

Related Items (15)

Complex geometry of moment-angle manifolds ⋮ Dolbeault cohomology of complex manifolds with torus action ⋮ Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings ⋮ LVMB manifolds and quotients of toric varieties ⋮ Complex manifolds with maximal torus actions ⋮ Wedge operations and doubling operations of real toric manifolds ⋮ Torus invariant transverse Kähler foliations ⋮ Group actions, non-Kähler complex manifolds and SKT structures ⋮ LVMB manifolds and simplicial spheres ⋮ Non-trivial higher Massey products in moment-angle complexes ⋮ Geometry of compact complex manifolds with maximal torus action ⋮ On the (co)homology of (quotients of) moment-angle manifolds over polygons ⋮ Geometric structures on moment-angle manifolds ⋮ Norm minima in certain Siegel leaves ⋮ Generalized virtual polytopes and quasitoric manifolds

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