De Rham and twisted cohomology of Oeljeklaus-Toma manifolds

DOI10.5802/aif.3288zbMath1426.53083arXiv1711.07847OpenAlexW2973266128MaRDI QIDQ2326266

Alexandra Otiman, Nicolina Istrati

Publication date: 7 October 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07847

zbMATH Keywords

spectral sequencetwisted cohomologyDe Rham cohomologynumber fieldLCK metricOT manifold

Mathematics Subject Classification ID

Units and factorization (11R27) Global differential geometry of Hermitian and Kählerian manifolds (53C55) de Rham theory in global analysis (58A12) Other complex differential geometry (53C56) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

On linear combinations of cohomological invariants of compact complex manifolds, Locally conformally Kähler solvmanifolds: a survey, Special Hermitian metrics on Oeljeklaus–Toma manifolds, The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature, and Oeljeklaus–Toma manifolds, On locally conformally Kähler 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, Do products of compact complex manifolds admit LCK metrics?, Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups, Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds, Locally conformally symplectic and Kähler geometry, Rigidity of Oeljeklaus-Toma manifolds, Units in number fields satisfying a multiplicative relation with application to Oeljeklaus-Toma manifolds, Locally conformally balanced metrics on almost abelian Lie algebras, Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory, Hopf surfaces in locally conformally Kähler manifolds with potential, On the generalization of Inoue manifolds

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