Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds
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Publication:5147442
DOI10.1090/tran/8213zbMath1471.32039arXiv1712.08901OpenAlexW3098866445WikidataQ124868019 ScholiaQ124868019MaRDI QIDQ5147442
Publication date: 26 January 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08901
Modifications; resolution of singularities (complex-analytic aspects) (32S45) Analytic sheaves and cohomology groups (32C35) Compact complex (3)-folds (32J17) Topological aspects of complex manifolds (32Q55)
Related Items (10)
The \(\partial\bar{\partial}\)-lemma under surjective maps ⋮ Relative Čech-Dolbeault homology and applications ⋮ Hodge cohomology on blow‐ups along subvarieties ⋮ Bott-Chern hypercohomology and bimeromorphic invariants ⋮ Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups ⋮ The heredity and bimeromorphic invariance of the \(\partial\bar{\partial}\)-lemma property ⋮ On the blow-up formula of twisted de Rham Cohomology ⋮ On blow-up formula of integral Bott-Chern cohomology ⋮ Formality of the Dolbeault complex and deformations of holomorphic Poisson manifolds ⋮ On the structure of double complexes
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