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

Research output: Contribution to journalArticlepeer-review

6 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 languageEnglish
Pages (from-to)109-121
Number of pages13
JournalMathematische Zeitschrift
Volume261
Issue number1
DOIs
Publication statusPublished - 2009 Jan 1

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Class field theory for a product of curves over a local field'. Together they form a unique fingerprint.

Cite this