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Descent obstruction and étale Brauer-Manin obstruction

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Publication:1025424
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DOI10.2140/ant.2009.3.237zbMath1247.11090OpenAlexW2072373602MaRDI QIDQ1025424

Cyril Demarche

Publication date: 19 June 2009

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2009.3.237


zbMATH Keywords

Galois cohomologyHasse principletorsorsBrauer-Manin obstructiondescent obstruction


Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) Galois cohomology of linear algebraic groups (11E72)


Related Items (9)

Iterating the algebraic étale-Brauer set ⋮ Noninvariance of weak approximation properties under extension of the ground field ⋮ Invariant Brauer subgroup and iterated descent obstruction ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ Zéro-cycles de degré 1 sur les solides de Poonen ⋮ Insufficiency of the Brauer-Manin obstruction applied to étale covers ⋮ Descent obstruction is equivalent to étale Brauer-Manin obstruction ⋮ Étale Brauer-Manin obstruction for Weil restrictions ⋮ Descent Obstruction and Fundamental Exact Sequence




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