Hyperbolicity of generic high-degree hypersurfaces in complex projective space
From MaRDI portal
Publication:896257
DOI10.1007/s00222-015-0584-xzbMath1333.32020arXiv1209.2723OpenAlexW2053395080WikidataQ59412762 ScholiaQ59412762MaRDI QIDQ896257
Publication date: 9 December 2015
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.2723
Surfaces of general type (14J29) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Algebraic theory of abelian varieties (14K05) Value distribution theory in higher dimensions (32H30)
Related Items
Quasiprojective manifolds with negative holomorphic sectional curvature ⋮ Degrees \(d \geq \left (\sqrt{n} \log n\right)^n\) and \(d \geq \left (n \log n\right)^n\) in the conjectures of Green-Griffiths and of Kobayashi ⋮ On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties (with an appendix by Dan Abramovich) ⋮ Construction of negatively curved complete intersections ⋮ Oka manifolds: from Oka to Stein and back ⋮ On the positivity of the logarithmic cotangent bundle ⋮ Entire holomorphic curves into projective spaces intersecting a generic hypersurface of high degree ⋮ Moment maps and cohomology of non-reductive quotients ⋮ Non-reductive geometric invariant theory and hyperbolicity ⋮ Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture ⋮ Uniqueness results for algebraic and holomorphic curves into ℙn(ℂ) ⋮ Slanted vector fields for jet spaces ⋮ Positivities and vanishing theorems on complex Finsler manifolds ⋮ Hyperbolicity of cyclic covers and complements ⋮ On the hyperbolicity of general hypersurfaces ⋮ Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures ⋮ A remark on the intersection of plane curves ⋮ Nevanlinna and algebraic hyperbolicity ⋮ Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a conjecture of Clemens on rational curves on hypersurfaces
- Effective algebraic degeneracy
- Subvarieties of generic complete intersections
- Diophantine approximations and value distribution theory
- Subvarieties of generic complete intersections. II
- Invariance of plurigenera
- Low pole order frames on vertical jets of the universal hypersurface
- Algebraic values of meromorphic functions
- Algebraic values of meromorphic maps
- Analytic subgroups of group varieties
- Transcendental points on group varieties
- Curves on generic hypersurfaces
- Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees
- Oka's Heftungslemma and the Levi Problem for Complex Spaces
