Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
classification
🧮 math.DG
math.AGmath.CV
keywords
bundlecanonicalcurvatureholomorphicpositivesectionaladmitsahler
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We show that if a compact complex manifold admits a K\"ahler metric whose holomorphic sectional curvature is everywhere non positive and strictly negative in at least one point, then its canonical bundle is positive.
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