The Frölicher spectral sequence can be arbitrarily non-degenerate

DOI10.1007/s00208-007-0206-zzbMath1188.53083arXiv0709.0481OpenAlexW2055293739MaRDI QIDQ927271

Sönke Rollenske, Laura Bigalke

Publication date: 4 June 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0481

zbMATH Keywords

spectral sequencede Rham cohomologyDolbeault cohomology

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Hodge theory in global analysis (58A14) Other complex differential geometry (53C56) Spectral sequences in algebraic topology (55T99)

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Manifolds Which Are Complex and Symplectic But Not Kähler, On linear combinations of cohomological invariants of compact complex manifolds, Another proof of the persistence of Serre symmetry in the Frölicher spectral sequence, Construct holomorphic invariants in Čech cohomology by a combinatorial formula, Hodge numbers of a hypothetical complex structure on \(S^{6}\), Maximal nilpotent complex structures, Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential, The Frölicher spectral sequence of certain solvmanifolds, Dolbeault cohomology of nilmanifolds with left-invariant complex structure, \(p\)-Kähler and balanced structures on nilmanifolds with nilpotent complex structures, Complex structures on nilpotent Lie algebras with one-dimensional center, Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics

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