Picard number, holomorphic sectional curvature, and ampleness

DOI10.1090/S0002-9939-2011-10928-6zbMath1235.32021OpenAlexW2024220322MaRDI QIDQ3116552

Damin Wu, Pit-Mann Wong, Shing Tung Yau

Publication date: 24 February 2012

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10928-6

zbMATH Keywords

holomorphic sectional curvaturePicard numberampleness

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Other complex differential geometry (53C56) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (8)

Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics ⋮ Reduction of manifolds with semi-negative holomorphic sectional curvature ⋮ Negative holomorphic curvature and positive canonical bundle ⋮ An existence time estimate for Kähler–Ricci flow ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ On real bisectional curvature for Hermitian manifolds ⋮ Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality ⋮ A note on compact Kähler manifolds with quasi-negative holomorphic sectional curvature

Cites Work

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• A degenerate Monge-Ampère equation and the boundary classes of Kähler cones
• The Ahlfors-Schwarz lemma in several complex variables
• Calabi-Yau manifolds with large Picard number
• Calabi-Yau manifolds and a conjecture of Kobayashi
• A General Schwarz Lemma for Kahler Manifolds
• Complex tori

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