On the canonical line bundle and negative holomorphic sectional curvature

DOI10.4310/MRL.2010.v17.n6.a9zbMath1233.14005arXiv0909.0106MaRDI QIDQ2275759

Steven Shin-Yi Lu, Gordon Heier, Bun Wong

Publication date: 9 August 2011

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0106

zbMATH Keywords

Kähler

Mathematics Subject Classification ID

Rational and birational maps (14E05) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (14)

Kähler manifolds and mixed curvature ⋮ 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 ⋮ Hermitian metrics of positive holomorphic sectional curvature on fibrations ⋮ On projective Kähler manifolds of partially positive curvature and rational connectedness ⋮ Complete Kähler-Einstein metrics under certain holomorphic covering and examples ⋮ Constraints on heterotic M-theory from s-cobordism ⋮ Ampleness of canonical divisors of hyperbolic normal projective varieties ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ On real bisectional curvature for Hermitian manifolds ⋮ Hermitian manifolds with quasi-negative curvature ⋮ Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality ⋮ A note on compact Kähler manifolds with quasi-negative holomorphic sectional curvature

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