Deformations of some open submanifolds of Calabi-Yau manifolds

DOI10.1016/j.geomphys.2017.10.004zbMath1380.32026OpenAlexW2766628682MaRDI QIDQ1685883

Chunle Huang

Publication date: 20 December 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.10.004

zbMATH Keywords

Calabi-Yau manifoldsholomorphic deformations

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25)

Cites Work

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• The Poincaré lemma for variations of polarized Hodge structure
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• An \(L^ 2\) Dolbeault lemma and its applications
• Quasi-isometry and deformations of Calabi-Yau manifolds