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On $n$-Dimensional Steinberg Symbols

  Published:2008-12-01
 Printed: Dec 2008
  • Fernando Pablos Romo
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Abstract

The aim of this work is to provide a new approach for constructing $n$-dimensional Steinberg symbols on discrete valuation fields from $(n+1)$-cocycles and to study reciprocity laws on curves related to these symbols.
Keywords: Steinberg symbols, reciprocity laws, discrete valuation field, algebraic curves Steinberg symbols, reciprocity laws, discrete valuation field, algebraic curves
MSC Classifications: 19F15, 19D45, 19C09 show english descriptions Symbols and arithmetic [See also 11R37]
Higher symbols, Milnor $K$-theory
Central extensions and Schur multipliers
19F15 - Symbols and arithmetic [See also 11R37]
19D45 - Higher symbols, Milnor $K$-theory
19C09 - Central extensions and Schur multipliers
 

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