Quasiprojective manifolds with negative holomorphic sectional curvature

DOI10.1215/00127094-2021-0041zbMath1495.32059arXiv1808.01854OpenAlexW2886507035MaRDI QIDQ2119894

Henri Guenancia

Publication date: 30 March 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01854

zbMATH Keywords

general typenegative holomorphic sectional curvatureLang conjecture

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Negative curvature complex manifolds (32Q05)

Related Items (3)

Subvarieties of quotients of bounded symmetric domains ⋮ Complex-analytic intermediate hyperbolicity, and finiteness properties ⋮ Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture

Cites Work

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• Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
• Negative holomorphic curvature and positive canonical bundle
• Uniruledness of stable base loci of adjoint linear systems via Mori theory
• Positivity criteria for log canonical divisors and hyperbolicity
• Monge-Ampère equations in big cohomology classes
• On a conjecture of Clemens on rational curves on hypersurfaces
• On the hyperbolicity of general hypersurfaces
• Orbifold generic semi-positivity: an application to families of canonically polarized manifolds
• Hyperbolicity of generic high-degree hypersurfaces in complex projective space
• Subvarieties of generic complete intersections
• The Ahlfors-Schwarz lemma in several complex variables
• Subvarieties of generic complete intersections. II
• Diophantine approximations and foliations
• An extension of a theorem of Wu-Yau
• Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
• Symmetric differentials on complex hyperbolic manifolds with cusps
• KÄHLER–EINSTEIN METRICS WITH CONE SINGULARITIES ON KLT PAIRS
• Singular Kähler-Einstein metrics
• Existence of minimal models for varieties of log general type
• Hyperbolic and Diophantine analysis
• Curves on generic hypersurfaces
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Rational curves on quasi-projective surfaces
• ON THE VOLUME OF A LINE BUNDLE
• Subvarieties of general type on a general projective hypersurface
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields

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