Two-Dimensional Local-Global Class Field Theory in Positive Characteristic
Number Theory
2014-04-15 v2
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.
Keywords
Cite
@article{arxiv.1403.6747,
title = {Two-Dimensional Local-Global Class Field Theory in Positive Characteristic},
author = {Kirsty Syder},
journal= {arXiv preprint arXiv:1403.6747},
year = {2014}
}
Comments
57 pages