Integral points on algebraic varieties. An introduction to Diophantine geometry

DOI10.1007/978-981-10-2648-5zbMath1454.14001OpenAlexW4247658819MaRDI QIDQ1995044

Pietro Corvaja

Publication date: 18 February 2021

Published in: HBA Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-2648-5

zbMATH Keywords

rational pointsDiophantine approximation\(S\)-integral pointsSchmidt subspace theoremDiophantine geometryHilbert irreducibility theoremintegral points on surfacesThue-Siegel-Roth

Mathematics Subject Classification ID

Rational points (14G05) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) Schmidt Subspace Theorem and applications (11J87)

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Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ On integral points of some Fano threefolds and their Hilbert schemes of lines and conics ⋮ Diophantine approximation ⋮ Heuristics to sift extraneous factors in Dixon resultants

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