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Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- We give explicit harmonic representatives of Dolbeault cohomology of Oeljeklaus-Toma manifolds and show that they are geometrically Dolbeault formal. We also give explicit harmonic representatives of Bott-Chern cohomology of Oeljeklaus-Toma manifolds of type $(s,1)$ and study the Angella-Tomassini inequality.<br />Comment: 10 pages To appear in Proc. Amer. Math. Soc
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
Applied Mathematics
General Mathematics
Hodge theory
Mathematics::Classical Analysis and ODEs
Harmonic (mathematics)
Dolbeault cohomology
Type (model theory)
Mathematics::Algebraic Topology
Cohomology
Differential Geometry (math.DG)
Mathematics::K-Theory and Homology
FOS: Mathematics
Mathematics::Differential Geometry
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....af1954d8a466da9ad4ab66457621a72c
- Full Text :
- https://doi.org/10.48550/arxiv.2008.06649