A note on 2-dimensional arithmetic symbols on Gl(n, ΣS)
The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field-, and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS)...
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| Format: | Article |
| Publication date: | 2007 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:138510 |
| Online Access: | https://ddd.uab.cat/record/138510 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10 |
| Access Level: | Open access |
| Keyword: | Parshin symbol Linear group Algebraic surface Discrete valuation field |
| Summary: | The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field-, and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S. |
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