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Local-global principle for over semiglobal fields
- Publication Year :
- 2024
-
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.
- Subjects :
- Mathematics - Algebraic Geometry
Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.17355
- Document Type :
- Working Paper