A subspace theorem for subvarieties

DOI10.2140/ant.2017.11.2323zbMath1439.11181OpenAlexW2782902244MaRDI QIDQ1689477

Julie Tzu-Yueh Wang, Min Ru

Publication date: 12 January 2018

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ant/1517454186

zbMATH Keywords

Diophantine approximationRoth's theoremSchmidt's subspace theoremVojta's conjecture

Mathematics Subject Classification ID

Rational points (14G05) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Schmidt Subspace Theorem and applications (11J87)

Related Items (13)

Vertices of the Harder and Narasimhan polygons and the laws of large numbers ⋮ Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ 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 ⋮ Asymptotic gcd and divisible sequences for entire functions ⋮ Generalized GCD for toric Fano varieties ⋮ A generalized subspace theorem for closed subschemes in subgeneral position ⋮ A Cartan's second main theorem approach in Nevanlinna theory ⋮ A second main theorem of Nevanlinna theory for closed subschemes in subgeneral position ⋮ Holomorphic curves into projective varieties intersecting closed subschemes in subgeneral position ⋮ Local positivity and effective Diophantine approximation ⋮ A generalized Second Main Theorem for closed subschemes ⋮ The Ru–Vojta result for subvarieties

Cites Work

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• A defect relation for holomorphic curves intersecting general divisors in projective varieties
• On the Schmidt subspace theorem for algebraic points
• Generalizations of Siegel's and Picard's theorems
• Arithmetic distance functions and height functions in diophantine geometry
• On a general Diophantine inequality
• The degenerated second main theorem and Schmidt's subspace theorem
• Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary varieties
• Géométrie, points entiers et courbes entières
• On a general Thue's equation

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