On the nondensity of integral points

DOI10.1215/00127094-1276292zbMath1217.14020OpenAlexW2063223236MaRDI QIDQ541155

Pascal Autissier

Publication date: 6 June 2011

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00127094-1276292

zbMATH Keywords

\(S\)-integral pointsLang-Wojta conjecture

Mathematics Subject Classification ID

Varieties over global fields (11G35) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Global ground fields in algebraic geometry (14G25)

Related Items (19)

Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ The stability threshold and Diophantine approximation ⋮ Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ Urata's theorem in the logarithmic case and applications to integral points ⋮ Holomorphic curves into algebraic varieties intersecting divisors in subgeneral position ⋮ Birational Nevanlinna constants, beta constants, and Diophantine approximation to closed subschemes ⋮ On the degeneracy of integral points and entire curves in the complement of nef effective divisors ⋮ Boundedness in families with applications to arithmetic hyperbolicity ⋮ On arithmetic inequalities for points of bounded degree ⋮ On the Schmidt subspace theorem for algebraic points ⋮ The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties ⋮ Hyperbolicity of Varieties of Log General Type ⋮ Nonspecial varieties and generalised Lang–Vojta conjectures ⋮ Vojta's conjecture on rational surfaces and the \(abc\) conjecture ⋮ A Cartan's second main theorem approach in Nevanlinna theory ⋮ Extending Runge’s method for integral points ⋮ Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem ⋮ Holomorphic curves into projective varieties intersecting closed subschemes in subgeneral position ⋮ The Ru–Vojta result for subvarieties

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• On Cartan's theorem and Cartan's conjecture
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• A Refinement of Schmidt's Subspace Theorem

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