On a dynamical Brauer-Manin obstruction

DOI10.5802/jtnb.668zbMath1196.37131arXiv0801.3045OpenAlexW2964060528MaRDI QIDQ1032679

Liang-Chung Hsia, Joseph H. Silverman

Publication date: 26 October 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3045

zbMATH Keywords

Brauer-Manin obstructionArithmetic dynamics

Mathematics Subject Classification ID

Varieties over global fields (11G35) Non-Archimedean dynamical systems (11S82) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (4)

On a dynamical local-global principle in Mordell-Weil type groups ⋮ The Brauer-Manin-Scharaschkin obstruction for subvarieties of a semi-abelian variety and its dynamical analog ⋮ Evidence for the Dynamical Brauer–Manin Criterion ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

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• The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields
• Finite descent obstructions and rational points on curves
• Wieferich's criterion and the abc-conjecture
• The Hasse Principle modulo nth powers
• The orders of the reductions of a point in the Mordell-Weil group of an elliptic curve
• Primitive divisors of the expression An - Bn in algebraic number fields.
• PRIMITIVE DIVISORS OF THE EXPRESSIONaⁿ–bⁿIN ALGEBRAIC NUMBER FIELDS

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