A Contou-Carrère symbol on Gl(n,A((t))) and a Witt residue theorem on Mat(n,Σ_C )
[EN]In order to obtain a unified theory of one-dimensional symbols, the aim of this work is to give a definition of the Contou-Carrère symbol over the linear group Gl(n,A((t))) and to construct from it a generalization of the Witt residue to the group Mat(n,k((t))). Moreover, we offer a reciprocity...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/164057 |
| Acceso en línea: | http://hdl.handle.net/10366/164057 |
| Access Level: | acceso embargado |
| Palabra clave: | Contou-Carrère symbol Witt theorem Reciprocity law 12 Matemáticas |
| Sumario: | [EN]In order to obtain a unified theory of one-dimensional symbols, the aim of this work is to give a definition of the Contou-Carrère symbol over the linear group Gl(n,A((t))) and to construct from it a generalization of the Witt residue to the group Mat(n,k((t))). Moreover, we offer a reciprocity law for the symbol when C is a complete algebraic curve and we deduce a Witt residue theorem on Mat(n,ΣC) as a particular case of this new reciprocity law. |
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