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)...
| Author: | |
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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 |
| _version_ | 1878735664139206656 |
|---|---|
| author | Pablos Romo, Fernando |
| author_browse | Pablos Romo, Fernando |
| author_facet | Pablos Romo, Fernando |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_8133ea2b2c8d3f47dec2840a77a12ca5 |
| institution | Universitat Autònoma de Barcelona |
| instname_str | Universitat Autònoma de Barcelona |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ddd.uab.cat:138510 |
| publishDate | 2007 |
| publishDateSort | 2007 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) Pablos Romo, Fernando Parshin symbol Linear group Algebraic surface Discrete valuation field 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. https://ddd.uab.cat/record/138510 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10 |
| spellingShingle | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) Pablos Romo, Fernando Parshin symbol Linear group Algebraic surface Discrete valuation field |
| title | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) |
| title_full | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) |
| title_fullStr | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) |
| title_full_unstemmed | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) |
| title_short | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) |
| title_sort | A note on 2-dimensional arithmetic symbols on Gl(n, ΣS) |
| topic | Parshin symbol Linear group Algebraic surface Discrete valuation field |
| topic_facet | Parshin symbol Linear group Algebraic surface Discrete valuation field |
| url | https://ddd.uab.cat/record/138510 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10 |