The Double Complex of a Blow-up
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Publication:5021201
DOI10.1093/imrn/rnz139zbMath1478.32027arXiv1808.02882OpenAlexW2886231841MaRDI QIDQ5021201
Publication date: 12 January 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.02882
Dolbeault complexde Rham complexcompact complex manifoldsprojective bundlequasi-isomorphismcomplex-valued differential forms
Modifications; resolution of singularities (complex-analytic aspects) (32S45) Compact complex surfaces (32J15) Local cohomology of analytic spaces (32C36)
Related Items (11)
The \(\partial\bar{\partial}\)-lemma under surjective maps ⋮ On linear combinations of cohomological invariants of compact complex manifolds ⋮ Dolbeault and Bott-Chern formalities: deformations and \(\partial \overline{\partial}\)-lemma ⋮ Hodge cohomology on blow‐ups along subvarieties ⋮ Hypercohomologies of truncated twisted holomorphic de Rham complexes ⋮ Bott-Chern hypercohomology and bimeromorphic invariants ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Representation of relative sheaf cohomology ⋮ Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups ⋮ On blow-up formula of integral Bott-Chern cohomology ⋮ On the structure of double complexes
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