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- W4384206916 abstract "We study local-global principles for torsors under reductive linear algebraic groups over semi-global fields; i.e., over one variable function fields over complete discretely valued fields. We provide conditions on the group and the semiglobal field under which the local-global principle holds, and we compute the obstruction to the local-global principle in certain classes of examples. Using our description of the obstruction, we give the first example of a semisimple simply connected group over a semi-global field where the local-global principle fails. Our methods include patching and R-equivalence." @default.
- W4384206916 created "2023-07-14" @default.
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- W4384206916 date "2021-08-27" @default.
- W4384206916 modified "2023-09-24" @default.
- W4384206916 title "Local-global principles for constant reductive groups over semi-global fields" @default.
- W4384206916 doi "https://doi.org/10.48550/arxiv.2108.12349" @default.
- W4384206916 hasPublicationYear "2021" @default.
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