An n-dimensional Contou–Carrère symbol over an artinian local ring

[EN]The aim of this work is to give a definition of an n-dimensional Contou–Carrère symbol. This symbol allows us to define an n-dimensionalWitt residue. Moreover, we offer a reciprocity law for the symbol related to a flag of irreducible varieties, in order to obtain an n-dimensional Witt residue T...

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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:10366/164063
Acceso en línea:http://hdl.handle.net/10366/164063
Access Level:acceso embargado
Palabra clave:Contou–Carrère symbol
Reciprocity law
Artinian local ring
12 Matemáticas
Descripción
Sumario:[EN]The aim of this work is to give a definition of an n-dimensional Contou–Carrère symbol. This symbol allows us to define an n-dimensionalWitt residue. Moreover, we offer a reciprocity law for the symbol related to a flag of irreducible varieties, in order to obtain an n-dimensional Witt residue Theorem as a particular case of this new reciprocity law.