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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Detalles Bibliográficos
Autor: Pablos Romo, Fernando
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:138510
Acceso en línea:https://ddd.uab.cat/record/138510
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10
Access Level:acceso abierto
Palabra clave:Parshin symbol
Linear group
Algebraic surface
Discrete valuation field
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spelling A note on 2-dimensional arithmetic symbols on Gl(n, ΣS)Pablos Romo, FernandoParshin symbolLinear groupAlgebraic surfaceDiscrete valuation fieldThe 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. 22007-01-0120072007-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/138510https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1385102026-06-06T12:50:31Z
dc.title.none.fl_str_mv A note on 2-dimensional arithmetic symbols on Gl(n, ΣS)
title A note on 2-dimensional arithmetic symbols on Gl(n, ΣS)
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_short 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_sort A note on 2-dimensional arithmetic symbols on Gl(n, ΣS)
dc.creator.none.fl_str_mv Pablos Romo, Fernando
author Pablos Romo, Fernando
author_facet Pablos Romo, Fernando
author_role author
dc.subject.none.fl_str_mv Parshin symbol
Linear group
Algebraic surface
Discrete valuation field
topic Parshin symbol
Linear group
Algebraic surface
Discrete valuation field
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.
publishDate 2007
dc.date.none.fl_str_mv 2
2007-01-01
2007
2007-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/138510
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10
url https://ddd.uab.cat/record/138510
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_10
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
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