On the local Tamagawa number conjecture for Tate motives over tamely ramified fields
On the local Tamagawa number conjecture for Tate motives over tamely ramified fields
The local Tamagawa number conjecure, first formulated by Fontaine and Perrin-Riou, expresses the compatibility of the (global) Tamagawa number conjecture on motivic $L$-functions with the functional equation. The local conjecture was proven for Tate motives over finite unramified extensions $K/\mathbb{Q}_p$ by Bloch and Kato. We use the theory of $(ϕ, …