Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties

DOI10.4064/aa170-3-2zbMath1338.11066OpenAlexW2565288397MaRDI QIDQ2944286

Nguyen Huu Kien, Do Duc Thai

Publication date: 31 August 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170-3-2

zbMATH Keywords

hyperbolicityintegral pointshyperbolically embedded\(N\)-subgeneral position

Mathematics Subject Classification ID

Varieties over global fields (11G35) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Value distribution theory in higher dimensions (32H30)

Cites Work

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• Diophantine approximation on abelian varieties
• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Diophantine approximations and value distribution theory
• Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)
• Holomorphic curves and integral points off divisors
• Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
• Integral points and the hyperbolicity of the complement of hypersurfaces.
• The dimensions of integral points and holomorphic curves on the complements of hyperplanes
• A Refinement of Schmidt's Subspace Theorem

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