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arXiv · 2406.17355

Local-global principle for over semiglobal fields

Philippe Gille·Raman Parimala
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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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Philippe Gille, Raman Parimala. 2024-06-25. Local-global principle for over semiglobal fields. https://arxiv.org/abs/2406.17355

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