Local-global principle for over semiglobal fields
Algebraic Geometry
2024-11-05 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.2406.17355,
title = {Local-global principle for over semiglobal fields},
author = {Philippe Gille and Raman Parimala},
journal= {arXiv preprint arXiv:2406.17355},
year = {2024}
}