On the $\partial\overline{\partial}$ -Lemma and Bott-Chern cohomology
Copyright policy )On the $\partial\overline{\partial}$ -Lemma and Bott-Chern cohomology
On a compact complex manifold $X$, we prove a Fr��licher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if $X$ satisfies the $\partial\overline{\partial}$-Lemma.
- University of Pisa Italy
- University of Parma Italy
Mathematics - Differential Geometry, Analytic sheaves and cohomology groups, Mathematics - Complex Variables, Deformations of complex structures, 510, Compact complex \(3\)-folds, Compact complex \(n\)-folds, Differential Geometry (math.DG), MAT/03 - Geometria, Iwasawa manifold, Hodge-Frölicher spectral sequence, Local cohomology of analytic spaces, FOS: Mathematics, Complex Variables (math.CV), 32Q99, complex Heisenberg group
Mathematics - Differential Geometry, Analytic sheaves and cohomology groups, Mathematics - Complex Variables, Deformations of complex structures, 510, Compact complex \(3\)-folds, Compact complex \(n\)-folds, Differential Geometry (math.DG), MAT/03 - Geometria, Iwasawa manifold, Hodge-Frölicher spectral sequence, Local cohomology of analytic spaces, FOS: Mathematics, Complex Variables (math.CV), 32Q99, complex Heisenberg group
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