Existence of global invariant jet differentials on projective hypersurfaces of high degree

DOI10.1007/s00208-008-0306-4zbMath1166.32013arXiv0802.0045OpenAlexW2009664738MaRDI QIDQ1014213

Simone Diverio

Publication date: 27 April 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0045

zbMATH Keywords

Kobayashi hyperbolicityalgebraic holomorphic Morse inequalitiescomplex projective hypersurfacesinvariant jet differentialslogarithmic jet bundlelogarithmic varietySchur power

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

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Cites Work

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• Differential equations on hypersurfaces in \(\mathbb P^4\).
• Logarithmic jets and hyperbolicity
• Numerical criteria for the positivity of the difference of ample divisors
• \(T\)-symmetrical tensor forms on complete intersections
• Differential equations on complex projective hypersurfaces of low dimension
• Hyperbolicity of generic surfaces of high degree in projective 3-space
• Logarithmic jet bundles and applications

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