scientific article; zbMATH DE number 5239010
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Publication:5442400
zbMath1187.58024MaRDI QIDQ5442400
Publication date: 22 February 2008
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Dolbeault cohomologyKodaira-Spencer theorynon-Kähler manifoldsinvariant differential formsabelian complex structuredeformations of nilmanifoldsNomizu's theorem
Deformations of general structures on manifolds (58H15) Solvable, nilpotent (super)algebras (17B30) Deformations of complex structures (32G05) Linear and affine connections (53B05)
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The cohomologies of the Iwasawa manifold and of its small deformations ⋮ Bott-Chern cohomology of solvmanifolds ⋮ Holomorphic Poisson structure and its cohomology on nilmanifolds ⋮ Hermitian ranks of compact complex manifolds ⋮ Holomorphic Poisson cohomology ⋮ Generalized deformation of complex structures on nilmanifolds ⋮ Deformations of Dolbeault cohomology classes for Lie algebra with complex structures ⋮ Cohomologies of generalized complex manifolds and nilmanifolds ⋮ Abelian Hermitian geometry ⋮ Abelian complex structures and generalizations
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