A remark on the codimension of the Green–Griffiths locus of generic projective hypersurfaces of high degree
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Publication:3065808
DOI10.1515/CRELLE.2010.088zbMath1211.32015arXiv0902.3741MaRDI QIDQ3065808
Stefano Trapani, Simone Diverio
Publication date: 6 January 2011
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.3741
Kähler manifolds (32Q15) Compact complex (3)-folds (32J17) Compact complex (n)-folds (32J18) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) (n)-folds ((n>4)) (14J40) Negative curvature complex manifolds (32Q05)
Related Items (7)
Symmetric differential forms on complete intersection varieties and applications ⋮ Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture ⋮ Holomorphic sectional curvature of complex Finsler manifolds ⋮ On the hyperbolicity of general hypersurfaces ⋮ Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds ⋮ Construction of hyperbolic hypersurfaces of low degree in ℙn(ℂ) ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures
Cites Work
- Positive polynomials for ample vector bundles
- Effective algebraic degeneracy
- Existence of global invariant jet differentials on projective hypersurfaces of high degree
- Holomorphic curves on hyperplane sections of 3-folds
- Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity
- Varieties with ample cotangent bundle
- Differential equations on complex projective hypersurfaces of low dimension
- Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees
- Hyperbolicity of generic surfaces of high degree in projective 3-space
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