We show that if a compact complex manifold admits a Kahler metric whose holomorphic sectional curvature is everywhere non positive and strictly negative in at least one point, then its canonical bundle is positive. This anger in the affermative to a question first asked by S. T> Yau.
Diverio, S., Trapani, S. (2019). Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle. JOURNAL OF DIFFERENTIAL GEOMETRY, 111(2), 303-314 [10.4310/jdg/1549422103].
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
Trapani, S
Writing – Review & Editing
2019-02-01
Abstract
We show that if a compact complex manifold admits a Kahler metric whose holomorphic sectional curvature is everywhere non positive and strictly negative in at least one point, then its canonical bundle is positive. This anger in the affermative to a question first asked by S. T> Yau.File in questo prodotto:
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