Degeneracy of holomorphic curves into algebraic varieties

DOI10.1016/j.matpur.2007.07.003zbMath1135.32018arXivmath/0507122OpenAlexW2569878149MaRDI QIDQ2385802

Junjiro Noguchi, Jörg Winkelmann, Katsutoshi Yamanoi

Publication date: 15 October 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507122

zbMATH Keywords

holomorphic curvehyperbolicitylog general typedegeneracy theoremGreen-Griffiths conjecture

Mathematics Subject Classification ID

Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Value distribution theory in higher dimensions (32H30)

Related Items (20)

Some stability properties of special varieties ⋮ Higher dimensional tautological inequalities and applications ⋮ Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ Logarithmic Vector Fields and Hyperbolicity ⋮ Non-Archimedean entire curves in closed subvarieties of semi-abelian varieties ⋮ On the positivity of the logarithmic cotangent bundle ⋮ Upper bounds of GCD counting function for holomorphic maps ⋮ Degeneracy of entire curves in log surfaces with \(\bar q = 2\) ⋮ Fibered threefolds and Lang-Vojta’s conjecture over function fields ⋮ Quasiprojective varieties admitting Zariski dense entire holomorphic curves ⋮ The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties ⋮ Diophantine approximation ⋮ Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree ⋮ On fundamental groups of algebraic varieties and value distribution theory ⋮ On the \(d\)th roots of exponential polynomials and related problems arising from the Green-Griffiths-Lang conjecture ⋮ Degeneracy of holomorphic curves into algebraic varieties. II ⋮ Some cases of Vojta’s conjecture on integral points over function fields ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures ⋮ Entire curves, integral sets and principal bundles ⋮ Holomorphic curves in algebraic varieties of maximal albanese dimension

Cites Work

• Toroidal embeddings. I
• Entire holomorphic curves in surfaces
• Jetmetriken und hyperbolische Geometrie. (On jet metrics and hyperbolic geometry)
• Holomorphic curves in algebraic varieties
• Equivariant completion
• A note on jets of entire curves in semi-abelian varieties
• Holomorphic curves and integral points off divisors
• The second main theorem for holomorphic curves into semi-Abelian varieties
• On the hyperbolicity of the complements of curves in algebraic surfaces: The three-component case
• STABILITY OF HYPERBOLIC IMBEDDEDNESS AND CONSTRUCTION OF EXAMPLES
• Lemma on logarithmic derivatives and holomorphic curves in algebraic varieties
• The value distribution of holomorphic curves into semi-Abelian varieties
• Holomorphic curves in Abelian varieties and intersections with higher codimensional subvarieties
• Hyperbolicity of the Complements of Plane Algebraic Curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Degeneracy of holomorphic curves into algebraic varieties