Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CJM
Abstract view

# On $n$-Dimensional Steinberg Symbols

Published:2008-12-01
Printed: Dec 2008
• Fernando Pablos Romo
 Format: HTML LaTeX MathJax PDF PostScript

## 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
 MSC Classifications: 19F15 - Symbols and arithmetic [See also 11R37] 19D45 - Higher symbols, Milnor $K$-theory 19C09 - Central extensions and Schur multipliers

© Canadian Mathematical Society, 2014 : https://cms.math.ca/