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Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture

URN to cite this document:
urn:nbn:de:bvb:355-epub-220728
Nickel, Andreas
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Date of publication of this fulltext: 07 Sep 2011 06:06


Abstract

Let L/K be a �nite Galois CM-extension of number �elds with Galois group G. In an earlier paper, the author has de�ned a module SKu(L/K) over the center of the group ring ZG which coincides with the Sinnott-Kurihara ideal if G is abelian and, in particular, contains many Stickelberger elements. It was shown that a certain conjecture on the integrality of SKu(L/K) implies the minus part of the ...

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