Reduction of manifolds with semi-negative holomorphic sectional curvature

DOI10.1007/s00208-017-1638-8zbMath1420.14015arXiv1705.00605OpenAlexW2962724363WikidataQ125823188 ScholiaQ125823188MaRDI QIDQ1627766

Bun Wong, Gordon Heier, Steven Shin-Yi Lu, Fang Yang Zheng

Publication date: 3 December 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00605

zbMATH Keywords

sectional curvaturenef canonical bundlesemi-negative curvature

Mathematics Subject Classification ID

Rational and birational maps (14E05) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Divisors, linear systems, invertible sheaves (14C20) Compact Kähler manifolds: generalizations, classification (32J27) Negative curvature complex manifolds (32Q05)

Related Items (9)

Kähler manifolds and mixed curvature ⋮ Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics ⋮ On projective manifolds with semi-positive holomorphic sectional curvature ⋮ Hermitian metrics of positive holomorphic sectional curvature on fibrations ⋮ On projective Kähler manifolds of partially positive curvature and rational connectedness ⋮ Open problems on structure of positively curved projective varieties ⋮ Local curvature estimates of long-time solutions to the Kähler-Ricci flow ⋮ Hermitian manifolds with quasi-negative curvature ⋮ Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality

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• Compact Kähler manifolds with nonpositive bisectional curvature
• Picard number, holomorphic sectional curvature, and ampleness
• Higher-dimensional algebraic geometry

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