The Frölicher spectral sequence can be arbitrarily non-degenerate
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Publication:927271
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
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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Cites Work
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- On compact complex parallelisable solvmanifolds
- Deformation in the large of some complex manifolds. I.
- The Frölicher spectral sequence for compact nilmanifolds
- On the cohomology of compact homogeneous spaces of nilpotent Lie groups
- The nondegeneration of the Hodge-de Rham spectral sequence
- On the Structure of Compact Complex Analytic Surfaces, I
- RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS
- Complex structures on nilpotent Lie algebras
- Dolbeault cohomology of compact nilmanifolds