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• W2952513191 abstract "Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a rational prime and let r be a non-positive integer. By examining the structure of the p-adic group ring Z_p[G], we prove many new cases of the p-part of the equivariant Tamagawa number conjecture (ETNC) for the pair (h^0(Spec(L)(r),Z[G])). The same methods can also be applied to other conjectures concerning the vanishing of certain elements in relative algebraic K-groups. We then prove a conjecture of Burns concerning the annihilation of class groups as Galois modules for a wide class of interesting extensions, including cases in which the full ETNC in not known. Similarly, we construct annihilators of higher dimensional algebraic K-groups of the ring of integers in L." @default.
• W2952513191 created "2019-06-27" @default.
• W2952513191 creator A5084350670 @default.
• W2952513191 creator A5090132590 @default.
• W2952513191 date "2012-10-31" @default.
• W2952513191 modified "2023-09-27" @default.
• W2952513191 title "On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results" @default.
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• W2952513191 hasPublicationYear "2012" @default.
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