A note on 2-dimensional arithmetic symbols on Gl (n,\Sigma_S)

[EN] 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,\...

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Detalles Bibliográficos
Autor: Pablos Romo, Fernando
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/164123
Acceso en línea:http://hdl.handle.net/10366/164123
Access Level:acceso abierto
Palabra clave:Parshin symbol
Algebraic surface
Linear group
Discrete valuation field
12 Matemáticas
Descripción
Sumario:[EN] 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,\Sigma_S) do not allow us to define new 2-dimensional symbols on S.