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On Swan Conductors for Brauer Groups of Curves Over Local Fields

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1269-1274

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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.

Keyword : Primary 11G20, 11S15

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