We study the class field theory of curves defined over two dimensional local
fields. The approach used here is a combination of the work of Kato-Saito and
Yoshida where the base field is one dimensional.
Publié le : 2009-08-15
Classification:
Bloch-Ogus complex,
Generalized reciprocity map,
Higher local fields,
Curves over local fields,
11G25,
14H25
@article{1251832380,
author = {Draouil, Belgacem},
title = {The arithmetic of curves over two dimensional local fields},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {16},
number = {1},
year = {2009},
pages = { 565-575},
language = {en},
url = {http://dml.mathdoc.fr/item/1251832380}
}
Draouil, Belgacem. The arithmetic of curves over two dimensional local fields. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp. 565-575. http://gdmltest.u-ga.fr/item/1251832380/