Descent obstructions and Brauer–Manin obstruction in positive characteristic

DOI10.1017/S1474748012000758zbMath1331.11047MaRDI QIDQ2841760

José Felipe Voloch, David Harari

Publication date: 30 July 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

Brauer-Manin obstructionArtin-Schreier coveringglobal field of positive characteristic

Mathematics Subject Classification ID

Varieties over global fields (11G35) Brauer groups of schemes (14F22) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (3)

Differential descent obstructions over function fields ⋮ On analogs of Cassels-Tate's exact sequence for connected reductive groups and Brauer-Manin obstruction for homogeneous spaces over global function fields ⋮ On Brauer-Manin obstructions and analogs of Cassels-Tate's exact sequence for connected reductive groups over global function fields

Cites Work

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• Failure of the Hasse principle for Châtelet surfaces in characteristic 2
• Hilbert's tenth problem for fields of rational functions over finite fields
• Insufficiency of the Brauer-Manin obstruction applied to étale covers
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• The Brauer–Manin obstruction for integral points on curves

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