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- W3105420809 abstract "On a compact Kahler manifold, we introduce a notion of almost nonpositivity for the holomorphic sectional curvature, which by definition is weaker than the existence of a Kahler metric with semi-negative holomorphic sectional curvature. We prove that a compact Kahler manifold of almost nonpositive holomorphic sectional curvature has a nef canonical line bundle, contains no rational curves and satisfies some Miyaoka-Yau type inequalities. In the course of the discussions, we attach a real value to any fixed Kahler class which, up to a constant factor depending only on the dimension of manifold, turns out to be an upper bound for the nef threshold." @default.
- W3105420809 created "2020-11-23" @default.
- W3105420809 creator A5044014192 @default.
- W3105420809 date "2018-03-16" @default.
- W3105420809 modified "2023-10-18" @default.
- W3105420809 title "Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality" @default.
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- W3105420809 doi "https://doi.org/10.48550/arxiv.1803.06093" @default.
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