On swan conductors for brauer groups of curves over local fields

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Abstract

For an element w of the Brauer group of a curve over a local field, we define the "Swan conductor" sw(w) of w, which measures the wildness of the ramification of w. We give a relation between sw(w) and Swan conductors for Brauer groups of henselian discrete valuation fields defined by Kato.

Original languageEnglish
Pages (from-to)1269-1274
Number of pages6
JournalProceedings of the American Mathematical Society
Volume127
Issue number5
DOIs
Publication statusPublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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