Dolbeault cohomology of nilmanifolds with left-invariant complex structure
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Publication:3098630
DOI10.1007/978-3-642-20300-8_18zbMath1266.53066arXiv1006.4224OpenAlexW1500147655MaRDI QIDQ3098630
Publication date: 18 November 2011
Published in: Complex and Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.4224
Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Other complex differential geometry (53C56) Cohomology of Lie (super)algebras (17B56) Deformations of complex structures (32G05)
Related Items (12)
On linear combinations of cohomological invariants of compact complex manifolds ⋮ Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles ⋮ Bott-Chern cohomology of solvmanifolds ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Complex curves in hypercomplex nilmanifolds with \(\mathbb{H}\)-solvable Lie algebras ⋮ Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds ⋮ Hermitian ranks of compact complex manifolds ⋮ Dolbeault cohomology for almost complex manifolds ⋮ Degree of non-Kählerianity for 6-dimensional nilmanifolds ⋮ Deformations of Dolbeault cohomology classes for Lie algebra with complex structures ⋮ Dolbeault and \(J\)-invariant cohomologies on almost complex manifolds ⋮ Generalized deformations and holomorphic Poisson cohomology of solvmanifolds
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