Local-global principle for over semiglobal fields

Published 25 Jun 2024 in math.AG and math.NT | (2406.17355v2)

Abstract: 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.

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