A class–field theoretical calculation

@article{Popescu2006,
abstract = {In this paper, we give the complete characterization of the $p$–torsion subgroups of certain idèle–class groups associated to characteristic $p$ function fields. As an application, we answer a question which arose in the context of Tan’s approach [6] to an important particular case of a generalization of a conjecture of Gross [4] on special values of $L$–functions.},
affiliation = {University of California, San Diego, Department of Mathematics 9500 Gilman Drive La Jolla, CA 92093-0112, USA},
author = {Popescu, Cristian D.},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Class–field theory; Galois cohomology; class field theory},
language = {eng},
number = {2},
pages = {477-486},
publisher = {Université Bordeaux 1},
title = {A class–field theoretical calculation},
url = {http://eudml.org/doc/249653},
volume = {18},
year = {2006},
}

TY - JOUR
AU - Popescu, Cristian D.
TI - A class–field theoretical calculation
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2006
PB - Université Bordeaux 1
VL - 18
IS - 2
SP - 477
EP - 486
AB - In this paper, we give the complete characterization of the $p$–torsion subgroups of certain idèle–class groups associated to characteristic $p$ function fields. As an application, we answer a question which arose in the context of Tan’s approach [6] to an important particular case of a generalization of a conjecture of Gross [4] on special values of $L$–functions.
LA - eng
KW - Class–field theory; Galois cohomology; class field theory
UR - http://eudml.org/doc/249653
ER -