Connected abelian complex Lie groups and number fields
- [1] University of California, San Diego 9500 Gilman Drive # 0112 La Jolla, CA 92093-0112 USA Current address : Fakultät für Mathematik Institut für theoritische Informatik und Mathematik Universität der Bundeswehr Münschen 85577 Neubiberg Deutschland
Journal de Théorie des Nombres de Bordeaux (2012)
- Volume: 24, Issue: 1, page 201-229
- ISSN: 1246-7405
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topVallières, Daniel. "Connected abelian complex Lie groups and number fields." Journal de Théorie des Nombres de Bordeaux 24.1 (2012): 201-229. <http://eudml.org/doc/251102>.
@article{Vallières2012,
abstract = {In this note we explain a way to associate to any number field some connected complex abelian Lie groups. Further, we study the case of non-totally real cubic number fields, and we see that they are intimately related with the Cousin groups (toroidal groups) of complex dimension $2$ and rank $3$.},
affiliation = {University of California, San Diego 9500 Gilman Drive # 0112 La Jolla, CA 92093-0112 USA Current address : Fakultät für Mathematik Institut für theoritische Informatik und Mathematik Universität der Bundeswehr Münschen 85577 Neubiberg Deutschland},
author = {Vallières, Daniel},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
month = {3},
number = {1},
pages = {201-229},
publisher = {Société Arithmétique de Bordeaux},
title = {Connected abelian complex Lie groups and number fields},
url = {http://eudml.org/doc/251102},
volume = {24},
year = {2012},
}
TY - JOUR
AU - Vallières, Daniel
TI - Connected abelian complex Lie groups and number fields
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2012/3//
PB - Société Arithmétique de Bordeaux
VL - 24
IS - 1
SP - 201
EP - 229
AB - In this note we explain a way to associate to any number field some connected complex abelian Lie groups. Further, we study the case of non-totally real cubic number fields, and we see that they are intimately related with the Cousin groups (toroidal groups) of complex dimension $2$ and rank $3$.
LA - eng
UR - http://eudml.org/doc/251102
ER -
References
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