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

Yamazaki, Takao

Proc. Am. Math. Soc. 127, No. 5, 1269-1274 (1999).

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.

Reviewer: S.K.Khanduja (Chandigarh)

MSC:

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

Keywords:

Swan conductor; wildness of ramification; Brauer group of a curve over a local field; Henselian discrete valuation fields

Citations:

Zbl 0776.14004