Integral points of bounded degree on affine curves

DOI10.1112/S0010437X15007708zbMath1380.11082arXiv1402.2346MaRDI QIDQ5360219

Aaron Levin

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2346

zbMATH Keywords

integral pointsSiegel's theoremPicard's theorembounded degree

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (max. 100)

Urata's theorem in the logarithmic case and applications to integral points ⋮ Integral points of bounded degree on the projective line and in dynamical orbits ⋮ Non-Archimedean hyperbolicity and applications ⋮ Vojta's conjecture on rational surfaces and the \(abc\) conjecture

Cites Work

• Generalizations of Siegel's and Picard's theorems
• Diophantine approximation on abelian varieties
• On Bloch's conjecture
• Arithmetic distance functions and height functions in diophantine geometry
• Diophantine approximations and value distribution theory
• On holomorphic curves in algebraic varieties with ample irregularity
• On holomorphic curves in semi-Abelian varieties
• Curves with infinitely many points of fixed degree
• Holomorphic curves and integral points off divisors
• On integral points on surfaces
• Integral points on subvarieties of semiabelian varieties. I
• On the Zariski-density of integral points on a complement of hyperplanes in \(\mathbb P^n\)
• A generalized Bloch's theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety
• Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
• Bielliptic Curves and Symmetric Products
• Vojta's inequality and rational and integral points of bounded degree on curves
• The dimensions of integral points and holomorphic curves on the complements of hyperplanes
• CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS
• On Weil's "Theoreme de Decomposition
• Lemma on logarithmic derivatives and holomorphic curves in algebraic varieties
• A Generalization of Theorems of Faltings and Thue-Siegel-Roth-Wirsing
• Integral Points on Subvarieties of Semiabelian Varieties, II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integral points of bounded degree on affine curves