On Swan conductors for Brauer groups of curves over local fields
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- by Takao Yamazaki PDF
- Proc. Amer. Math. Soc. 127 (1999), 1269-1274 Request permission
Abstract:
For an element $w$ of the Brauer group of a curve over a local field, we define the “Swan conductor” $\operatorname {sw}(w)$ of $w$, which measures the wildness of the ramification of $w$. We give a relation between $\operatorname {sw}(w)$ and Swan conductors for Brauer groups of henselian discrete valuation fields defined by Kato.References
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Additional Information
- Takao Yamazaki
- Email: yama@ms406ss5.ms.u-tokyo.ac.jp
- Received by editor(s): May 5, 1997
- Received by editor(s) in revised form: August 8, 1997
- Published electronically: January 27, 1999
- Communicated by: David E. Rohrlich
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1269-1274
- MSC (1991): Primary 11G20, 11S15
- DOI: https://doi.org/10.1090/S0002-9939-99-04775-9
- MathSciNet review: 1487348