Class field theory for a product of curves over a local field

Takao Yamazaki

doi:10.1007/s00209-008-0315-8

Class field theory for a product of curves over a local field

Takao Yamazaki

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We prove that the kernel of the reciprocity map for a product of curves over a p-adic field with split semi-stable reduction is divisible. We also consider the K ₁ of a product of curves over a number field.

Original language	English
Pages (from-to)	109-121
Number of pages	13
Journal	Mathematische Zeitschrift
Volume	261
Issue number	1
DOIs	https://doi.org/10.1007/s00209-008-0315-8
Publication status	Published - 2009 Jan 1

Keywords

Hasse principle
Higher dimensional class field theory
K-group
Reciprocity map

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-008-0315-8

Cite this

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title = "Class field theory for a product of curves over a local field",

abstract = "We prove that the kernel of the reciprocity map for a product of curves over a p-adic field with split semi-stable reduction is divisible. We also consider the K 1 of a product of curves over a number field.",

keywords = "Hasse principle, Higher dimensional class field theory, K-group, Reciprocity map",

author = "Takao Yamazaki",

year = "2009",

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KW - Hasse principle

KW - Higher dimensional class field theory

KW - K-group

KW - Reciprocity map

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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Class field theory for a product of curves over a local field

Abstract

Keywords

ASJC Scopus subject areas

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