An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture
Reza TalebDepartment of Mathematics McMaster University Hamilton, Ontario Canada L8S 4K1
We formulate and prove an Equivariant Main Conjecture (EMC) for all prime numbers under the assumptions and the validity of the 2-adic Main Conjecture in Iwasawa theory citeWi. This equivariant version coincides with the version, which Ritter and Weiss formulated and proved for odd under the assumption in citeRW2. Our proof combines the approach of Ritter and Weiss with ideas and techniques used by Greither and Popescu in citeGP2 in a recent proof of an equivalent formulation of the above EMC under the same assumptions ( odd and ) as in citeRW2. As an application of the EMC we prove the Coates-Sinnott Conjecture, again assuming and the 2-adic Main Conjecture.
Cite this article
Reza Taleb, An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture. Doc. Math. 18 (2013), pp. 749–783DOI 10.4171/DM/413