Divisibility of polynomials and degeneracy of integral points

DOI10.1007/s00208-023-02564-3arXiv2106.11337OpenAlexW3176746926MaRDI QIDQ6191288

Erwan Rousseau, Julie Tzu-Yueh Wang, Amos Turchet

Publication date: 9 February 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11337

Mathematics Subject Classification ID

Rational points (14G05) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Schmidt Subspace Theorem and applications (11J87)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\))
• On the Schmidt subspace theorem for algebraic points
• Vojta's conjecture on blowups of \({\mathbb{P}^n}\), greatest common divisors, and the \(abc\) conjecture
• Generalizations of Siegel's and Picard's theorems
• Integral points, divisibility between values of polynomials and entire curves on surfaces
• Arithmetic distance functions and height functions in diophantine geometry
• Diophantine approximations and value distribution theory
• An effective Schmidt's subspace theorem over function fields
• An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\)
• Rational points on quartics
• Greatest common divisors and Vojta's conjecture for blowups of algebraic tori
• On integral points on surfaces
• Orbifolds, special varieties and classification theory.
• Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\)
• Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori
• Generalized greatest common divisors, divisibility sequences, and Vojta's conjecture for blowups
• Greatest common divisors of integral points of numerically equivalent divisors
• Integral points and Vojta’s conjecture on rational surfaces
• Diophantine Approximation and Nevanlinna Theory
• A birational Nevanlinna constant and its consequences
• Variétés faiblement spéciales à courbes entières dégénérées
• Géométrie, points entiers et courbes entières
• A Refinement of Schmidt's Subspace Theorem
• GCD Bounds for Analytic Functions
• Asymptotic gcd and divisible sequences for entire functions
• Nonspecial varieties and generalised Lang–Vojta conjectures
• Fibered threefolds and Lang-Vojta’s conjecture over function fields

This page was built for publication: Divisibility of polynomials and degeneracy of integral points