On Swan conductors for Brauer groups of curves over local fields

Yamazaki, Takao

doi:10.1090/S0002-9939-99-04775-9

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.

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