The reciprocity obstruction for rational points on compactifications of torsors under tori over fields with global duality

zbMath1025.14003MaRDI QIDQ1411961

Joost van Hamel

Publication date: 4 November 2003

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/123022

zbMATH Keywords

Tate-Shafarevich groupBrauer-Manin obstructionarithmetic algebraic geometryDiophantine geometryvarieties over global fieldscompactifications of torsorshomogeneous spaces over global fieldsobstruction to the local-global principle

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Étale and other Grothendieck topologies and (co)homologies (14F20) Varieties over global fields (11G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

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