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arXiv · 1403.6747

Two-Dimensional Local-Global Class Field Theory in Positive Characteristic

Kirsty Syder
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Abstract

Using the higher tame symbol and Kawada and Satake's Witt vector method, A. N. Parshin developed class field theory for higher local fields, defining reciprocity maps separately for the tamely ramified and wildly ramified cases. We extend this technique to the case of local-global fields associated to points and curves on an algebraic surface over a finite field.

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Kirsty Syder. 2014-04-14. Two-Dimensional Local-Global Class Field Theory in Positive Characteristic. https://arxiv.org/abs/1403.6747

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