On the Equivariant Tamagawa Number Conjecture for Tate Motives and Unconditional Annihilation Results

@inproceedings{Johnston2014OnTE,
  title={On the Equivariant Tamagawa Number Conjecture for Tate Motives and Unconditional Annihilation Results},
  author={Henri Johnston},
  year={2014}
}
Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a prime and let r ≤ 0 be an integer. By examining the structure of the p-adic group ring Zp[G], we prove many new cases of the p-part of the equivariant Tamagawa number conjecture (ETNC) for the pair (h(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… CONTINUE READING

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