Geodesic
An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture
Documenta mathematica, Tome 18 (2013), pp. 749-783.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We formulate and prove an Equivariant Main Conjecture (EMC) for $\it $all prime numbers $p$ under the assumptions $\mu = 0$ 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 $p$ under the assumption $\mu=0$ 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 ($p$ odd and $\mu=0$) as in citeRW2. As an application of the EMC we prove the Coates-Sinnott Conjecture, again assuming $\mu=0$ and the 2-adic Main Conjecture.
Classification : 11R23, 11R42, 14F42, 11R70, 11R33, 11R34
Keywords: Iwasawa theory, global and p-adic L-functions, motivic cohomology, algebraic K-theory, Fitting ideals 
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     author = {Taleb, Reza},
     title = {An equivariant main conjecture in {Iwasawa} theory and the {Coates-Sinnott} conjecture},
     journal = {Documenta mathematica},
     pages = {749--783},
     publisher = {mathdoc},
     volume = {18},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a25/}
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Taleb, Reza. An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture. Documenta mathematica, Tome 18 (2013), pp. 749-783. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a25/