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Poitou-Tate without restrictions on the order

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Publication:530616
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DOI10.4310/MRL.2015.v22.n6.a5zbMath1348.11089arXiv1410.2621OpenAlexW2963584889MaRDI QIDQ530616

Kęstutis Česnavičius

Publication date: 10 August 2016

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2621


zbMATH Keywords

global fieldadèlesarithmetic dualityfppf cohomologyPoitou-Tate


Mathematics Subject Classification ID

Adèle rings and groups (11R56) Algebraic number theory: global fields (11R99) Galois cohomology (11R34)


Related Items (10)

The growth of Tate–Shafarevich groups in cyclic extensions ⋮ Nonabelian reciprocity laws and higher Brauer-Manin obstructions ⋮ Perfect points of abelian varieties ⋮ Tate Duality in Positive Dimension over Function Fields ⋮ Brauer-Manin obstructions on hyperelliptic curves ⋮ Local-global principles for homogeneous spaces of reductive groups over global function fields ⋮ Artin-Mazur-Milne duality for fppf cohomology ⋮ Selmer groups are intersection of two direct summands of the adelic cohomology ⋮ Tamagawa numbers and other invariants of pseudoreductive groups over global function fields ⋮ The \(d\)-primary Brauer-Manin obstruction for curves




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