Dolbeault cohomology of complex manifolds with torus action
DOI10.1090/conm/772/15489zbMath1489.32003arXiv1908.06356OpenAlexW2967520749MaRDI QIDQ5085306
Roman Krutowski, Taras E.Panov
Publication date: 27 June 2022
Published in: Topology, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.06356
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Compact complex (n)-folds (32J18) Complex Lie groups, group actions on complex spaces (32M05) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Topological aspects of complex manifolds (32Q55) Holomorphic bundles and generalizations (32L05) Algebraic topology on manifolds and differential topology (57R19) Dynamical aspects of holomorphic foliations and vector fields (37F75) Toric topology (57S12)
Cites Work
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- Complex geometry of moment-angle manifolds
- Transverse Kähler structures on central foliations of complex manifolds
- Derived subdivisions make every PL sphere polytopal
- Décomposition de Hodge basique pour les feuilletages riemanniens
- Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
- Closedness of the Douady spaces of compact Kähler spaces
- A new geometric construction of compact complex manifolds in any dimension
- Nonrational symplectic toric reduction
- A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension. -- Correction by Kenji Matsuki
- Presymplectic convexity and (ir)rational polytopes
- Complex manifolds with maximal torus actions
- Torus invariant transverse Kähler foliations
- Non-commutative Toric Varieties
- Foliations Modeling Nonrational Simplicial Toric Varieties
- THE GEOMETRY OF TORIC VARIETIES
- Complex-analytic structures on moment-angle manifolds
- Basic Cohomology of Canonical Holomorphic Foliations on Complex Moment-Angle Manifolds
- Toric Topology
- Compact complex manifolds: an extension of Meersseman's and López de Medrano-Verjovsky's construction
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