The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.
[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
@article{urn:eudml:doc:41923,
title = {A note on 2-dimensional arithmetic symbols on Gl(n, $\Sigma$S).},
journal = {Publicacions Matem\`atiques},
year = {2007},
pages = {193-208},
zbl = {1168.19002},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41923}
}
Pablos Romo, Fernando. A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).. Publicacions Matemàtiques, (2007), pp. 193-208. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41923/