On modified circular units and annihilation of real classes
Number Theory
2009-12-15 v1
Abstract
For an abelian totally real number field and an odd prime number which splits totally in , we present a functorial approach to special "-units" previously built by D. Solomon using "wild" Euler systems. This allows us to prove a conjecture of Solomon on the annihilation of the -class group of (in the particular context here), as well as related annihilation results and index formulae.
Cite
@article{arxiv.0912.2451,
title = {On modified circular units and annihilation of real classes},
author = {Jean-Robert Belliard and Thong Nguyen Quang Do},
journal= {arXiv preprint arXiv:0912.2451},
year = {2009}
}