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Divisibility of polynomials and degeneracy of integral points - MaRDI portal

Divisibility of polynomials and degeneracy of integral points (Q6191288)

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scientific article; zbMATH DE number 7802411

Language	Label	Description	Also known as
English	Divisibility of polynomials and degeneracy of integral points	scientific article; zbMATH DE number 7802411

Statements

scholarly article

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Divisibility of polynomials and degeneracy of integral points (English)

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Julie Tzu-Yueh Wang

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Mathematische Annalen

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publication date

9 February 2024

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full work available at URL

https://arxiv.org/abs/2106.11337

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MaRDI profile type

MaRDI publication profile

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Géométrie, points entiers et courbes entières

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An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\)

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Orbifolds, special varieties and classification theory.

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Variétés faiblement spéciales à courbes entières dégénérées

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Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\)

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On integral points on surfaces

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Integral points, divisibility between values of polynomials and entire curves on surfaces

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Algebraic hyperbolicity of ramified covers of \(\mathbb{G}^2_m\) (and integral points on affine subsets of \(\mathbb{P}_2\))

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Asymptotic gcd and divisible sequences for entire functions

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Rational points on quartics

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Generalizations of Siegel's and Picard's theorems

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On the Schmidt subspace theorem for algebraic points

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Greatest common divisors and Vojta's conjecture for blowups of algebraic tori

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Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori

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GCD Bounds for Analytic Functions

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Nonspecial varieties and generalised Lang–Vojta conjectures

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A birational Nevanlinna constant and its consequences

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Arithmetic distance functions and height functions in diophantine geometry

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Generalized greatest common divisors, divisibility sequences, and Vojta's conjecture for blowups

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Fibered threefolds and Lang-Vojta’s conjecture over function fields

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Diophantine approximations and value distribution theory

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A Refinement of Schmidt's Subspace Theorem

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Diophantine Approximation and Nevanlinna Theory

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An effective Schmidt's subspace theorem over function fields

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Greatest common divisors of integral points of numerically equivalent divisors

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Vojta's conjecture on blowups of \({\mathbb{P}^n}\), greatest common divisors, and the \(abc\) conjecture

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Integral points and Vojta’s conjecture on rational surfaces

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Identifiers

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10.1007/s00208-023-02564-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191288

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