A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).

Fernando Pablos Romo

Publicacions Matemàtiques (2007)

  • Volume: 51, Issue: Extra, page 193-208
  • ISSN: 0214-1493

Abstract

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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)].

How to cite

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Pablos Romo, Fernando. "A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).." Publicacions Matemàtiques 51.Extra (2007): 193-208. <http://eudml.org/doc/41923>.

@article{PablosRomo2007,
abstract = {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)].},
author = {Pablos Romo, Fernando},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de números; Símbolos; Grupos lineales; Superficies algebraicas; Parshin symbol; linear group; algebraic surface; discrete valuation field},
language = {eng},
number = {Extra},
pages = {193-208},
title = {A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).},
url = {http://eudml.org/doc/41923},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Pablos Romo, Fernando
TI - A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - Extra
SP - 193
EP - 208
AB - 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)].
LA - eng
KW - Teoría de números; Símbolos; Grupos lineales; Superficies algebraicas; Parshin symbol; linear group; algebraic surface; discrete valuation field
UR - http://eudml.org/doc/41923
ER -

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