Local-global principles for tori over arithmetic curves

DOI10.14231/AG-2020-022zbMath1468.11097arXiv1906.10672MaRDI QIDQ5126745

Daniel Krashen, Julia Hartmann, David Harbater, Jean-Louis Colliot-Thélène, Raman Parimala, Venapally Suresh

Publication date: 20 October 2020

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10672

zbMATH Keywords

Galois cohomologypatchinglinear algebraic groupstorsorstorilocal-global principlesflasque resolutionssemi-global fields

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Galois cohomology (12G05) Rational points (14G05) Arithmetic ground fields for curves (14H25) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Galois cohomology of linear algebraic groups (11E72)

Related Items (5)

Local-global principle for projective homogeneous spaces of unitary groups ⋮ Some aspects of rational points and rational curves ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ Adelic double cosets over semi-global fields ⋮ Local-global principles for constant reductive groups over semi-global fields

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