Quantitative and qualitative cohomological properties for non-Kähler manifolds

DOI10.1090/proc/13209zbMath1355.32020arXiv1507.07108OpenAlexW3102918184MaRDI QIDQ2832827

Nicoletta Tardini, Daniele Angella

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07108

zbMATH Keywords

complex manifoldsBott-Chern cohomologyAeppli cohomologynon-Kähler geometry\(\partial\overline{\partial}\)-lemma

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Complex manifolds (32Q99)

Related Items (12)

On the cohomology of almost-complex and symplectic manifolds and proper surjective maps ⋮ The \(\partial\bar{\partial}\)-lemma under surjective maps ⋮ Bott-Chern hypercohomology and bimeromorphic invariants ⋮ Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms ⋮ On Tian-Todorov lemma and its applications to deformation of CR-structures ⋮ Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds ⋮ On non-Kähler degrees of complex manifolds ⋮ On the deformed Bott-Chern cohomology ⋮ Higher-page Bott-Chern and Aeppli cohomologies and applications ⋮ Geometric formalities Along the Chern-Ricci flow ⋮ On local stabilities of -Kähler structures

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