Título
Algebraic construction of the tame symbol and the Parshin symbol on a surface
Autor(es)
Palabras clave
Tame symbol
Parshin symbol
Valuation ring
Central extension of groups
Commutator
Clasificación UNESCO
Fecha de publicación
2004-04-01
Editor
Elsevier
Citación
Fernando Pablos Romo, Algebraic construction of the tame symbol and the Parshin symbol on a surface, Journal of Algebra, Volume 274, Issue 1, 2004, Pages 335-346, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2003.07.005. (https://www.sciencedirect.com/science/article/pii/S0021869303005659)
Resumen
[EN]The aim of this work is to offer a new characterization of the tame symbol associated with a discrete valuation from the commutator of a certain central extension of groups. This construction allows us to generalize recent constructions of the tame symbol of an algebraic curve to the arithmetical case, and to offer an easy algebraic proof of a Parshin Reciprocity Law on an algebraic surface with the same method as Tate's proof of the Residue Theorem.
URI
ISSN
0021-8693
DOI
10.1016/j.jalgebra.2003.07.005
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