Explicit computations in Iwasawa theory
Number Theory
2019-02-13 v1
Abstract
We give two algorithms to compute layers of the anticyclotomic -extension of an imaginary quadratic field. The first is based on complex multiplication techniques for nonmaximal orders; the second is based on Kummer theory. As an illustration of our results, we use the mirroring principle to derive results on the structure of class groups of nonmaximal orders.
Cite
@article{arxiv.1806.10473,
title = {Explicit computations in Iwasawa theory},
author = {Reinier Broker and David Hubbard and Lawrence C. Washington},
journal= {arXiv preprint arXiv:1806.10473},
year = {2019}
}
Comments
to appear in proceedings of ANTS 13