Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory

DOI10.1090/proc/15436zbMath1486.53082arXiv2008.06649OpenAlexW3111172209MaRDI QIDQ4990363

Hisashi Kasuya

Publication date: 28 May 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.06649

zbMATH Keywords

solvmanifoldsOeljeklaus-Toma manifoldsHodge theory on non-Kähler manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nilpotent and solvable Lie groups (22E25) Hodge theory in global analysis (58A14) Local cohomology of analytic spaces (32C36)

Related Items (3)

Special Hermitian metrics on Oeljeklaus–Toma manifolds ⋮ Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds ⋮ On metric and cohomological properties of Oeljeklaus-Toma manifolds

Cites Work

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• On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
• Rigidity of Oeljeklaus-Toma manifolds
• De Rham and twisted cohomology of Oeljeklaus-Toma manifolds
• Formality and hard Lefschetz property of aspherical manifolds
• Dolbeault Homotopy Theory
• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
• Dolbeault cohomology of compact nilmanifolds
• On Bott-Chern cohomology of compact complex surfaces

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