Explicit reciprocity laws for higher local fields
Number Theory
2020-01-23 v3
Abstract
Using the previously constructed explicit reciprocity laws for the generalized Kummer pairing of an arbitrary (one-dimensional) formal group, in this article a special consideration is given to Lubin-Tate formal groups. In particular, this allows for a completely explicit description of the Kummer pairing in terms of multidimensional p-adic differentiation. The results obtained here constitute a generalization, to higher local fields, of the formulas of Artin-Hasse, Iwasawa, Kolyvagin and Wiles.
Cite
@article{arxiv.1705.10433,
title = {Explicit reciprocity laws for higher local fields},
author = {Jorge Flórez},
journal= {arXiv preprint arXiv:1705.10433},
year = {2020}
}
Comments
37 pages