Algebraic construction of the tame symbol and the Parshin symbol on a surface

Pablos Romo, Fernando

doi:10.1016/j.jalgebra.2003.07.005

Título

Algebraic construction of the tame symbol and the Parshin symbol on a surface

Autor(es)

Pablos Romo, Fernando

Palabras clave

Tame symbol

Parshin symbol

Valuation ring

Central extension of groups

Commutator

Clasificación UNESCO

12 Matemáticas

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

https://hdl.handle.net/10366/164052

ISSN

0021-8693

DOI

10.1016/j.jalgebra.2003.07.005

Versión del editor

https://doi.org/10.1016/j.jalgebra.2003.07.005

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