Counting colorings on varieties.

Fernando Rodríguez-Villegas

Publicacions Matemàtiques (2007)

  • Volume: 51, Issue: Extra, page 209-220
  • ISSN: 0214-1493

Abstract

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We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices.[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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Rodríguez-Villegas, Fernando. "Counting colorings on varieties.." Publicacions Matemàtiques 51.Extra (2007): 209-220. <http://eudml.org/doc/41922>.

@article{Rodríguez2007,
abstract = {We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].},
author = {Rodríguez-Villegas, Fernando},
journal = {Publicacions Matemàtiques},
keywords = {Teoría algebraica de números; Función zeta; Campos finitos; Problemas combinatorios; Zeta functions; finite fields; combinatorics},
language = {eng},
number = {Extra},
pages = {209-220},
title = {Counting colorings on varieties.},
url = {http://eudml.org/doc/41922},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Rodríguez-Villegas, Fernando
TI - Counting colorings on varieties.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - Extra
SP - 209
EP - 220
AB - We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
LA - eng
KW - Teoría algebraica de números; Función zeta; Campos finitos; Problemas combinatorios; Zeta functions; finite fields; combinatorics
UR - http://eudml.org/doc/41922
ER -

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