On the Schmidt subspace theorem for algebraic points

DOI10.1215/00127094-2827017zbMath1321.11073arXiv1210.2983OpenAlexW3102800747MaRDI QIDQ488065

Aaron Levin

Publication date: 23 January 2015

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

Full work available at URL: https://arxiv.org/abs/1210.2983

zbMATH Keywords

Diophantine approximationpoints of bounded degreeSchmidt subspace theoremWirsing's theorem

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Schmidt Subspace Theorem and applications (11J87)

Related Items (18)

An improvement of Chen-Ru-Yan's degenerated second main theorem ⋮ Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes ⋮ A defect relation for holomorphic curves intersecting general divisors in projective varieties ⋮ Greatest common divisors of integral points of numerically equivalent divisors ⋮ Holomorphic curves into algebraic varieties intersecting divisors in subgeneral position ⋮ A subspace theorem for subvarieties ⋮ A Wirsing-type theorem for numerically equivalent divisors ⋮ A second main theorem of finite ramified coverings ⋮ On the degeneracy of integral points and entire curves in the complement of nef effective divisors ⋮ Divisibility of polynomials and degeneracy of integral points ⋮ Quantitative geometric and arithmetic results on projective surfaces ⋮ A generalization of the subspace theorem for higher degree polynomials in subgeneral position ⋮ On arithmetic inequalities for points of bounded degree ⋮ Asymptotic gcd and divisible sequences for entire functions ⋮ On a general Diophantine inequality ⋮ Schmidt's subspace theorem for moving hypersurface targets ⋮ A note on Schmidt’s subspace theorem ⋮ Degenerated second main theorem for holomorphic curves into algebraic varieties

Cites Work

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• On the nondensity of integral points
• Generalizations of Siegel's and Picard's theorems
• Integral points on threefolds and other varieties
• Lower bounds for height functions
• Arithmetic distance functions and height functions in diophantine geometry
• Diophantine approximations and value distribution theory
• The \(\mathfrak p\)-adic Thue-Siegel-Roth-Schmidt theorem
• A subspace theorem approach to integral points on curves
• On integral points on surfaces
• Algebroid functions, Wirsing's theorem and their relations
• Diophantine approximation with algebraic points of bounded degree.
• Holomorphic curves into algebraic varieties
• Toward a numerical theory of ampleness
• Simultaneous approximation to algebraic numbers by rationals
• Norm form equations
• On Cartan's theorem and Cartan's conjecture
• The p ‐adic generalization of the Thue‐Siegel‐Roth theorem
• Polarized Varieties, Fields of Moduli and Generalized Kummer Varieties of Polarized Abelian Varieties
• The Many Faces of the Subspace Theorem (after Adamczewski, Bugeaud, Corvaja, Zannier...)
• Géométrie, points entiers et courbes entières
• A Refinement of Schmidt's Subspace Theorem
• A Generalization of Theorems of Faltings and Thue-Siegel-Roth-Wirsing
• Sur la dérivée des fonctions algébroïdes
• Über den Einfluß der Verzweigtheit einer Algebroide auf ihre Wertverteilung.
• On a general Thue's equation
• Rational approximations to algebraic numbers

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