\(ABC\) estimate, integral points, and geometry of \({\mathbb{P}}^n\) minus hyperplanes

DOI10.4310/MRL.1999.V6.N3.A9zbMath0957.11033OpenAlexW2329208982MaRDI QIDQ1574724

Julie Tzu-Yueh Wang

Publication date: 13 August 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1999.v6.n3.a9

zbMATH Keywords

function fieldsintegral pointsABC estimate

Mathematics Subject Classification ID

Heights (11G50) Diophantine inequalities (11J25) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Simultaneous homogeneous approximation, linear forms (11J13) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (3)

The ABC theorem for higher-dimensional function fields ⋮ Integral points off hyperplanes in positive characteristic ⋮ Truncated second main theorem with moving targets

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