Open Access
August 2009 The arithmetic of curves over two dimensional local fields
Belgacem Draouil
Bull. Belg. Math. Soc. Simon Stevin 16(3): 565-575 (August 2009). DOI: 10.36045/bbms/1251832380

Abstract

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.

Citation

Download Citation

Belgacem Draouil. "The arithmetic of curves over two dimensional local fields." Bull. Belg. Math. Soc. Simon Stevin 16 (3) 565 - 575, August 2009. https://doi.org/10.36045/bbms/1251832380

Information

Published: August 2009
First available in Project Euclid: 1 September 2009

zbMATH: 1251.11048
MathSciNet: MR2566875
Digital Object Identifier: 10.36045/bbms/1251832380

Subjects:
Primary: 11G25 , 14H25

Keywords: Bloch-Ogus complex , Curves over local fields , Generalized reciprocity map , Higher local fields

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 3 • August 2009
Back to Top