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- W3094875197 abstract "On a compact Kähler manifold, we introduce a notion of almost nonpositivity for the holomorphic sectional curvature, which by definition is weaker than the existence of a Kähler metric with semi-negative holomorphic sectional curvature. We prove that a compact Kähler 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 Kähler 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.
- W3094875197 created "2020-11-09" @default.
- W3094875197 creator A5044014192 @default.
- W3094875197 date "2020-10-29" @default.
- W3094875197 modified "2023-10-14" @default.
- W3094875197 title "Holomorphic sectional curvature, nefness and Miyaoka–Yau type inequality" @default.
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- W3094875197 doi "https://doi.org/10.1007/s00209-020-02636-z" @default.
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