Bulletin of the Belgian Mathematical Society - Simon Stevin
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The arithmetic of curves over two dimensional local fields

Belgacem Draouil

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 3 (2009), 565-575.

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.

Primary Subjects: 11G25, 14H25
Keywords: Bloch-Ogus complex; Generalized reciprocity map; Higher local fields; Curves over local fields

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1251832380
Zentralblatt MATH identifier: 05612299

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2009 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin