Construction of hyperbolic hypersurfaces of low degree in ℙn(ℂ)

DOI10.1142/S0129167X16500592zbMath1352.14037arXiv1601.06653MaRDI QIDQ2816969

Dinh Tuan Huynh

Publication date: 26 August 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06653

zbMATH Keywords

Nevanlinna theoryhyperbolicityKobayashi conjectureBrody lemma

Mathematics Subject Classification ID

Varieties of low degree (14N25) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (3)

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 ⋮ Hyperbolicity of cyclic covers and complements ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures

Cites Work

• Weak analytic hyperbolicity of generic hypersurfaces of high degree in \(\mathbb P^4\)
• A remark on the codimension of the Green–Griffiths locus of generic projective hypersurfaces of high degree
• Compact Manifolds and Hyperbolicity
• Unnamed Item

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