On the $\partial \overline{\partial }$-Lemma and Bott-Chern cohomology

Abstract

On a compact complex manifold $X$, we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if $X$ satisfies the $\partial \overline{\partial }$-Lemma.

References in corpus (1)

• The cohomologies of the Iwasawa manifold and of its small deformations

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• On the Structure of Double Complexes
• On Cohomological Decomposability of Almost-Kähler Structures
• Cohomologies of certain orbifolds
• Degree of non-Kählerianity for 6-dimensional nilmanifolds
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• Localization of Bott-Chern classes and Hermitian residues
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• Geometric formalities along the Chern-Ricci flow
• Bott-Chern cohomology and q-complete domains
• The $\partial \bar{\partial }$-lemma under surjective maps
• Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds
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