On Swan conductors for Brauer groups of curves over local fields. (English) Zbl 0921.14008

The author defines the notion of a “Swan conductor”, which is the measure of wildness of ramification for an element of the Brauer group of a curve over a local field. Then there is a relationship established between these Swan conductors and those defined by K. Kato in 1989 [e.g. in: Algebraic analysis, geometry and number theory, Proc. JAMI Inaugur. Conf., Baltimore 1988, 191-224 (1989; Zbl 0776.14004)] for Brauer groups of Henselian discrete valuation fields.


14E22 Ramification problems in algebraic geometry
14F22 Brauer groups of schemes
14H25 Arithmetic ground fields for curves
11G20 Curves over finite and local fields
14G20 Local ground fields in algebraic geometry
11S15 Ramification and extension theory


Zbl 0776.14004
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