Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree

DOI10.1007/s00039-019-00496-2zbMath1452.32034arXiv1804.01719OpenAlexW2930108573MaRDI QIDQ1999358

Ya Deng, Damian Brotbek

Publication date: 26 June 2019

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01719

zbMATH Keywords

Kobayashi hyperbolicitysecond main theoremKobayashi conjecturejet differentialshigher-order log connectionslogarithmic Demailly towerlogarithmic Wronskianslogarithmic-orbifoldorbifold hyperbolicity

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Complete intersections (14M10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Divisors, linear systems, invertible sheaves (14C20)

Related Items (6)

On the set of divisors with zero geometric defect ⋮ 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) ⋮ Elliptic characterization and localization of Oka manifolds ⋮ Nevanlinna and algebraic hyperbolicity ⋮ Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants

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