Embeddings of maximal tori in classical groups and explicit Brauer–Manin obstruction
| Autor: | Raman Parimala, Eva Bayer-Fluckiger, Ting-Yu Lee |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Classical group
Pure mathematics Mathematics::Number Theory Applied Mathematics General Mathematics 010102 general mathematics Torus 0102 computer and information sciences Manin obstruction Type (model theory) 01 natural sciences Subject matter Embedding problem Hasse principle 010201 computation theory & mathematics 0101 mathematics Mathematics |
| Zdroj: | Journal of the European Mathematical Society. 20:137-163 |
| ISSN: | 1435-9855 |
| DOI: | 10.4171/jems/762 |
| Popis: | Embeddings of maximal tori into classical groups over global fields of characteristic not 2 are the subject matter of several recent papers, with special attention to the Hasse principle. The present paper gives necessary and sufficient conditions for this embedding problem, and in particular for the Hasse principle to hold. Using work of Borovoi, this is interpreted as a Brauer-Manin type obstruction. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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