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arXiv:2406.17355 [math.AG]AbstractReferencesReviewsResources

Local-global principle for over semiglobal fields

Philippe Gille, Raman Parimala

Published 2024-06-25Version 1

We compare different local-global principles for torsors under a reductive group G defined over a semiglobal field F. In particular if the F-group G s a retract rational F-variety, we prove that the local global principle holds for the completions with respect to divisorial valuations of F.

Categories: math.AG, math.NT
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