Integral points on threefolds and other varieties

DOI10.2748/tmj/1264084501zbMath1250.11066OpenAlexW2044940852MaRDI QIDQ961450

Aaron Levin, Pietro Corvaja, Umberto Zannier

Publication date: 30 March 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1264084501

zbMATH Keywords

Schmidt Subspace Theorem

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) Value distribution theory in higher dimensions (32H30) Schmidt Subspace Theorem and applications (11J87)

Related Items (10)

Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ On Runge's method and the integral points of some modular varieties ⋮ Urata's theorem in the logarithmic case and applications to integral points ⋮ On the degeneracy of integral points and entire curves in the complement of nef effective divisors ⋮ A tubular variant of Runge's method in all dimensions, with applications to integral points on Siegel modular varieties ⋮ On the Schmidt subspace theorem for algebraic points ⋮ Hyperbolicity of Varieties of Log General Type ⋮ On the nondensity of integral points ⋮ Extending Runge’s method for integral points ⋮ Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem

Cites Work

• Generalizations of Siegel's and Picard's theorems
• On integral points on surfaces
• Integral points on subvarieties of semiabelian varieties. I
• On Cartan's theorem and Cartan's conjecture
• Géométrie, points entiers et courbes entières
• A Refinement of Schmidt's Subspace Theorem
• On the number of integral points on algebraic curves
• Higher-dimensional algebraic geometry

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