ON ALGEBRAIC HYPERBOLICITY OF LOG VARIETIES

DOI10.1142/S0219199704001422zbMath1083.14052arXivmath/0111051MaRDI QIDQ5315550

Xiong Chen

Publication date: 8 September 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111051

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Hypersurfaces and algebraic geometry (14J70)

Related Items (11)

Logarithmic Vector Fields and Hyperbolicity ⋮ Algebraic hyperbolicity of the very general quintic surface in \(\mathbb{P}^3\) ⋮ Fibered threefolds and Lang-Vojta’s conjecture over function fields ⋮ Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps ⋮ Hyperbolicity of Varieties of Log General Type ⋮ Nonspecial varieties and generalised Lang–Vojta conjectures ⋮ Hyperbolicity of geometric orbifolds ⋮ \({\mathbb A}^1\)-curves on affine complete intersections ⋮ A remark on the intersection of plane curves ⋮ Nevanlinna and algebraic hyperbolicity ⋮ Further results on Nevanlinna hyperbolicity

Cites Work

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• Subvarieties of general hypersurfaces in projective space
• Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane
• Curves on generic hypersurfaces
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• Linear systems of plane curves with base points of equal multiplicity

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