A note on compact Kähler manifolds with quasi-negative holomorphic sectional curvature

DOI10.1090/proc/15336zbMath1460.32027OpenAlexW3104659078WikidataQ125660867 ScholiaQ125660867MaRDI QIDQ5856960

Wei Xia

Publication date: 30 March 2021

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

Full work available at URL: https://doi.org/10.1090/proc/15336

zbMATH Keywords

compact Kähler manifoldquasi-negative holomorphic sectional curvatureample canonical bundle

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Compact Kähler manifolds: generalizations, classification (32J27) Negative curvature complex manifolds (32Q05)

Cites Work

• Negative holomorphic curvature and positive canonical bundle
• Kähler manifolds of semi-negative holomorphic sectional curvature
• A remark on our paper ``negative holomorphic curvature and positive canonical bundle
• The uniformization of compact Kaehler surfaces of negative curvature
• The Ahlfors-Schwarz lemma in several complex variables
• An extension of a theorem of Wu-Yau
• Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
• An introduction to the Kähler-Ricci flow. Selected papers based on the presentations at several meetings of the ANR project MACK
• On the canonical line bundle and negative holomorphic sectional curvature
• Picard number, holomorphic sectional curvature, and ampleness
• A General Schwarz Lemma for Kahler Manifolds
• Differential equations on riemannian manifolds and their geometric applications
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Kähler Manifolds with Negative Holomorphic Sectional Curvature, Kähler-Ricci Flow Approach
• On real bisectional curvature and Kähler-Ricci flow
• On real bisectional curvature for Hermitian manifolds

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