Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields

DOI10.1090/tran/7911zbMath1440.14035arXiv1710.03173OpenAlexW2963970193WikidataQ101424806 ScholiaQ101424806MaRDI QIDQ5240157

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

Publication date: 24 October 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03173

zbMATH Keywords

zero-cycleslocal-global principlesdiscrete valuation ringslinear algebraic groups and torsorssemiglobal fields

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Rational points (14G05) Arithmetic ground fields for curves (14H25) Algebraic cycles (14C25) Galois cohomology of linear algebraic groups (11E72)

Related Items (6)

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Local-global principle for classical groups over function fields of \(p\)-adic curves ⋮ Patching over analytic fibers and the local-global principle ⋮ Strong A1${\mathbb {A}}^1$‐invariance of A1${\mathbb {A}}^1$‐connected components of reductive algebraic groups ⋮ Some aspects of rational points and rational curves ⋮ Local-global Galois theory of arithmetic function fields

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