Cet article est bâtit autour de la question suivante : comment des propriétés géométriques et analytiques de variétés hyperboliques de dimension 3 déterminent-elles leurs classes de commensurabilité. Cet article est pour la plus grande partie un aperçu de travaux récents.
The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.
@article{AFST_2014_6_23_5_1103_0,
author = {Reid, Alan W.},
title = {Traces, lengths, axes and commensurability},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {1103--1118},
publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 23},
number = {5},
year = {2014},
doi = {10.5802/afst.1438},
mrnumber = {3294604},
language = {en},
url = {http://www.numdam.org/articles/10.5802/afst.1438/}
}
TY - JOUR AU - Reid, Alan W. TI - Traces, lengths, axes and commensurability JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2014 SP - 1103 EP - 1118 VL - 23 IS - 5 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1438/ DO - 10.5802/afst.1438 LA - en ID - AFST_2014_6_23_5_1103_0 ER -
%0 Journal Article %A Reid, Alan W. %T Traces, lengths, axes and commensurability %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2014 %P 1103-1118 %V 23 %N 5 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1438/ %R 10.5802/afst.1438 %G en %F AFST_2014_6_23_5_1103_0
Reid, Alan W. Traces, lengths, axes and commensurability. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Numéro Spécial : Aux croisements de la géométrie hyperbolique et de l’arithmétique, Tome 23 (2014) no. 5, pp. 1103-1118. doi : 10.5802/afst.1438. http://www.numdam.org/articles/10.5802/afst.1438/
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