Holomorphic deformations of balanced Calabi-Yau $\partial \bar{\partial}$-manifolds

DOI10.5802/aif.3254zbMath1429.32026arXiv1304.0331OpenAlexW2963831090MaRDI QIDQ2421922

Dan Popovici

Publication date: 18 June 2019

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

Full work available at URL: https://arxiv.org/abs/1304.0331

zbMATH Keywords

Weil-Petersson metricdeformations of complex structures\(\partial\bar{\partial}\)-manifoldpossibly non-Kähler Calabi-Yau manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact complex (n)-folds (32J18) Deformations of complex structures (32G05)

Related Items (10)

Holomorphic deformations of the Ricci-flat \(\partial \overline{\partial}\)-manifolds ⋮ Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry ⋮ Aeppli Cohomology Classes Associated with Gauduchon Metrics on Compact Complex Manifolds ⋮ Polarisation of SKT Calabi-Yau ∂∂̄-manifolds by Aeppli classes ⋮ Co-polarised deformations of Gauduchon Calabi-Yau \(\partial \bar{\partial } \)-manifolds and deformation of \(p\)-SKT \(h\)-\(\partial \bar{\partial } \)-manifolds ⋮ Several special complex structures and their deformation properties ⋮ On Tian-Todorov lemma and its applications to deformation of CR-structures ⋮ Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations ⋮ Deformations of higher-page analogues of \(\partial{\bar{\partial}} \)-manifolds ⋮ Deformations of Dolbeault cohomology classes

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