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Approximation Theorems for Classifying Stacks over Number Fields
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DOI：10.1007/s00031-026-09954-2.png)
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Abstract
En 中文
Approximation theorems for algebraic stacks over a number field k are studied in this article. For G a connected linear algebraic group over a number field we prove strong approximation with Brauer-Manin obstruction for the classifying stack BG. This result answers a very concrete question, given G-torsors P-v over k(v), where v ranges over a finite number of places, when can you approximate the P-v by a G-torsor P defined over k.
Keywords:
BRAUER-MANIN OBSTRUCTION
HOMOGENEOUS SPACES
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