On non-Kähler degrees of complex manifolds
From MaRDI portal
Publication:1737109
DOI10.1515/advgeom-2018-0026zbMath1416.32011arXiv1605.03368OpenAlexW3099514450MaRDI QIDQ1737109
Misha Verbitsky, Adriano Tomassini, Daniele Angella
Publication date: 26 March 2019
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.03368
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Analytic sheaves and cohomology groups (32C35) Topological aspects of complex manifolds (32Q55)
Related Items
Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds, Symplectic cohomologies and deformations, Classification of non-Kähler surfaces and locally conformally Kähler geometry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The cohomologies of the Iwasawa manifold and of its small deformations
- Tamed symplectic forms and strong Kähler with torsion metrics
- Degree of non-Kählerianity for 6-dimensional nilmanifolds
- On cohomological decomposition of almost-complex manifolds and deformations
- Every K 3 surface is Kähler
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- Real homotopy theory of Kähler manifolds
- Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
- On compact Kähler surfaces
- A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
- Hodge numbers of a hypothetical complex structure on the six sphere
- Bott-Chern cohomology of solvmanifolds
- On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
- A Frölicher-type inequality for generalized complex manifolds
- Inequalities à la Frölicher and cohomological decompositions
- The pseudo-effective cone of a non-Kählerian surface and applications
- Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
- Quantitative and qualitative cohomological properties for non-Kähler manifolds
- On the Bott–Chern cohomology and balanced Hermitian nilmanifolds
- Cohomologies of deformations of solvmanifolds and closedness of some properties
- Kähler metrics on elliptic surfaces
- A Parabolic Flow of Pluriclosed Metrics
- On the Structure of Compact Complex Analytic Surfaces, I
- On Bott-Chern cohomology of compact complex surfaces
