On the structure of double complexes
From MaRDI portal
Publication:5859984
DOI10.1112/jlms.12453zbMath1475.14045arXiv1812.00865OpenAlexW3144568658MaRDI QIDQ5859984
Publication date: 18 November 2021
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.00865
Spectral sequences, hypercohomology (18G40) Analytic sheaves and cohomology groups (32C35) de Rham cohomology and algebraic geometry (14F40) Complex manifolds (32Q99) General theory of spectral sequences in algebraic topology (55T05)
Related Items
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 ⋮ Bott-Chern hypercohomology and bimeromorphic invariants ⋮ On the algebra generated by \(\overline{\mu}\), \(\overline{\partial}\), \(\partial\), \(\mu\) ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds ⋮ On metric and cohomological properties of Oeljeklaus-Toma manifolds ⋮ Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups ⋮ Higher-page Bott-Chern and Aeppli cohomologies and applications ⋮ Deformations of higher-page analogues of \(\partial{\bar{\partial}} \)-manifolds ⋮ Deformations of Dolbeault cohomology classes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The cohomologies of the Iwasawa manifold and of its small deformations
- Un théorème de dualité
- Real homotopy theory of Kähler manifolds
- Toroidal varieties and the weak factorization theorem
- Bott-Chern cohomology of solvmanifolds
- Hodge numbers of a hypothetical complex structure on \(S^{6}\)
- On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
- A faithful braid group action on the stable category of tricomplexes
- Parametrized homology via zigzag persistence
- Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms
- Dolbeault cohomologies of blowing up complex manifolds
- Adiabatic limit and the Frölicher spectral sequence
- Chern's conjecture for special affine manifolds
- Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
- A class of compact, complex manifolds which are not algebraic
- Classification of abelian complex structures on 6-dimensional Lie algebras
- Dolbeault Homotopy Theory
- Torification and factorization of birational maps
- Representation Theory of Artin Algebras II
- Model category structures and spectral sequences
- Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups
- The Double Complex of a Blow-up
- Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds
- Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem
- Dolbeault cohomology of compact nilmanifolds
