The Brauer–Manin obstruction for integral points on curves

DOI10.1017/S0305004110000381zbMath1280.11038MaRDI QIDQ3056307

David Harari, José Felipe Voloch

Publication date: 11 November 2010

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

zbMATH Keywords

integral pointsBrauer-Manin obstructionhyperbolic curves

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35)

Related Items (11)

Very strong approximation for certain algebraic varieties ⋮ Finite descent obstruction for curves over function fields ⋮ Approximation forte sur un produit de variétés abéliennes épointé en des points de torsion ⋮ Strong Approximation with Brauer–Manin Obstruction for Toric Varieties ⋮ A Local-Global Criteria of Affine Varieties Admitting Points in Rank-One Subgroups of a Global Function Field ⋮ Integral points on conic log K3 surfaces ⋮ Multiplicative subgroups avoiding linear relations in finite fields and a local-global principle ⋮ Descent obstructions and Brauer–Manin obstruction in positive characteristic ⋮ The triviality of Brauer-Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero ⋮ Finite descent obstruction for Hilbert modular varieties ⋮ Arithmetic purity of strong approximation for homogeneous spaces

Cites Work

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• Local-global principles for 1-motives
• The defect of strong approximation for commutative algebraic groups
• On Picard groups of algebraic fibre spaces
• Algebraic Groups Over Finite Fields
• Deciding Existence of Rational Points on Curves: An Experiment
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• Heuristics for the Brauer–Manin Obstruction for Curves

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