Abstract

The aim of this work is to prove a divisibility relation toward the main conjecture for CM fields. Our main tool is the study of congruences between an Eisenstein series and cusp forms on the unitary group GU(2,1). We introduce an Eisenstein ideal in the nearly-ordinary universal Hecke algebra for GU(2,1) and show that it divides the characteristic ideal of the CM Iwasawa module.

pdf

Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 499-538
Launched on MUSE
2008-04-04
Open Access
No
Back To Top

This website uses cookies to ensure you get the best experience on our website. Without cookies your experience may not be seamless.