Compact complex manifolds with small Gauduchon cone

DOI10.1112/PLMS.12110zbMath1394.32013arXiv1407.5070OpenAlexW3121511925MaRDI QIDQ4569621

Dan Popovici, Luis Ugarte

Publication date: 26 June 2018

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

Full work available at URL: https://arxiv.org/abs/1407.5070

zbMATH Keywords

compact complex manifoldsdeformations of complex structuresGauduchon metrics

Mathematics Subject Classification ID

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

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POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD -LEMMA ⋮ Deformation stability of \(p\)-SKT and \(p\)-HS manifolds ⋮ Product of generalized \(p\)-Kähler manifolds ⋮ An integral condition involving \(\overline{\partial}\)-harmonic \((0,1)\)-forms ⋮ Several special complex structures and their deformation properties ⋮ Proper modifications of generalized \(p\)-Kähler manifolds ⋮ Dolbeault cohomologies of blowing up complex manifolds ⋮ Higher-page Bott-Chern and Aeppli cohomologies and applications ⋮ Aeppli cohomology and Gauduchon metrics ⋮ Deformation limit and bimeromorphic embedding of Moishezon manifolds

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