Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds

DOI10.1007/s40879-023-00646-9arXiv2102.02907OpenAlexW4381490597MaRDI QIDQ6174367

Hisashi Kasuya

Publication date: 14 July 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.02907

zbMATH Keywords

Dolbeault cohomologysolvmanifoldholomorphic line bundleOeljeklaus-Toma manifold

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) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Cites Work

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• de Rham and Dolbeault cohomology of solvmanifolds with local systems
• Generalized complex geometry
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• Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds
• Special Hermitian metrics on Oeljeklaus–Toma manifolds