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

DOI10.1007/s00605-010-0242-8zbMath1282.11086OpenAlexW2021727703WikidataQ122899652 ScholiaQ122899652MaRDI QIDQ540456

Yu Yasufuku

Publication date: 3 June 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0242-8

zbMATH Keywords

greatest common divisorabc conjectureSchmidt's subspace theoremVojta's conjecture

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Schmidt Subspace Theorem and applications (11J87)

Related Items (8)

Greatest common divisors of integral points of numerically equivalent divisors ⋮ Divisibility of polynomials and degeneracy of integral points ⋮ Greatest common divisors and Vojta's conjecture for blowups of algebraic tori ⋮ Generalized GCD for toric Fano varieties ⋮ Diophantine approximation ⋮ Vojta's conjecture on rational surfaces and the \(abc\) conjecture ⋮ Vojta's conjecture on blowups of \({\mathbb{P}^n}\), greatest common divisors, and the \(abc\) conjecture ⋮ Integral points and Vojta’s conjecture on rational surfaces

Cites Work

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• Generalized greatest common divisors, divisibility sequences, and Vojta's conjecture for blowups
• Integral points and Vojta’s conjecture on rational surfaces
• Vojta’s Main Conjecture for blowup surfaces
• On the abc conjecture and diophantine approximation by rational points

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