Vojta’s Main Conjecture for blowup surfaces

DOI10.1090/S0002-9939-02-06784-9zbMath1022.11027OpenAlexW1848778278WikidataQ122946191 ScholiaQ122946191MaRDI QIDQ3148681

David McKinnon

Publication date: 7 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06784-9

zbMATH Keywords

elliptic curvesrational pointsheightsVojta's conjecture

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Varieties over global fields (11G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (5)

Greatest common divisors of integral points of numerically equivalent divisors ⋮ Greatest common divisors and Vojta's conjecture for blowups of algebraic tori ⋮ 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 ⋮ Generalized greatest common divisors, divisibility sequences, and Vojta's conjecture for blowups

Cites Work

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• Diophantine approximation on abelian varieties
• Diophantine approximations and value distribution theory
• Diophantine approximation and abelian varieties. Introductory lectures. Papers of the conference, held in Soesterberg, Netherlands, April 12-16, 1992
• Mappings into compact complex manifolds with negative first Chern class
• Heights in number fields

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