Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity

DOI10.1007/s00208-007-0172-5zbMath1137.32010OpenAlexW2099174568WikidataQ56619384 ScholiaQ56619384MaRDI QIDQ2476180

Mihai Paun

Publication date: 12 March 2008

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

Full work available at URL: https://doi.org/10.1007/s00208-007-0172-5

zbMATH Keywords

Kobayashi conjecture for surfaces in projective three-spaceKobayashi hyperbolic surfacesmeromorphic vector fields on projective manifolds

Mathematics Subject Classification ID

Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70)

Related Items (19)

Towards the Green-Griffiths-Lang Conjecture ⋮ SCROLLS AND HYPERBOLICITY ⋮ Effective algebraic degeneracy ⋮ Logarithmic Vector Fields and Hyperbolicity ⋮ Low pole order frames on vertical jets of the universal hypersurface ⋮ Hyperbolicity of generic deformations ⋮ Slanted vector fields for jet spaces ⋮ Hyperbolicity of cyclic covers and complements ⋮ On the hyperbolicity of general hypersurfaces ⋮ Weak analytic hyperbolicity of complements of generic surfaces of high degree in projective 3-space ⋮ Hyperbolicity related problems for complete intersection varieties ⋮ Morse cohomology estimates for jet differential operators ⋮ Generalized Demailly-Semple jet bundles and holomorphic mappings into complex manifolds ⋮ Application of computational invariant theory to Kobayashi hyperbolicity and to Green-Griffiths algebraic degeneracy ⋮ Rationality in Differential Algebraic Geometry ⋮ Aspects in Complex Hyperbolicity ⋮ A remark on the codimension of the Green–Griffiths locus of generic projective hypersurfaces of high degree ⋮ Curves in quadric and cubic surfaces whose complements are Kobayashi hyperbolically imbedded ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures

Cites Work

• Unnamed Item
• Unnamed Item
• On a conjecture of Clemens on rational curves on hypersurfaces
• Subvarieties of generic complete intersections
• Defect relations for holomorphic maps between spaces of different dimensions
• Diophantine approximations and foliations
• Almost-positive vector bundles on projective surfaces
• Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane
• Compact Manifolds and Hyperbolicity
• Holomorphic curves in surfaces of general type.
• Curves on generic hypersurfaces
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• 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

This page was built for publication: Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity