The aim of this paper is to compare two modules of elliptic units, which arise in the study of elliptic curves E over quadratic imaginary fields K with complex multiplication by , good ordinary reduction above a split prime p and prime power conductor (over K). One of the modules is a special case of those modules of elliptic units studied by K. Rubin in his paper [Invent. Math. 103 (1991)] on the two-variable main conjecture (without p-adic L-functions), and the other module is a smaller one, contained in the former, as studied by R. I. Yager in [Ann. of Math. 115 (1982)] (where a connection to p-adic L-functions is given).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-4,
author = {Ulrich Schmitt},
title = {A comparison of elliptic units in certain prime power conductor cases},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {39-65},
zbl = {06487225},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-4}
}
Ulrich Schmitt. A comparison of elliptic units in certain prime power conductor cases. Acta Arithmetica, Tome 168 (2015) pp. 39-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-4/