The local Tamagawa number conjecture for Hecke characters, II · arXivDesk
math/0701634Jan 23, 2007The preprint "The local Tamagawa number conjecture for Hecke characters, II", appeared as section 6 of the present manuscript, which includes two old prepints of the author, under the joint title "On the Tamagawa number conjecture for Hecke characters"
The local Tamagawa number conjecture for Hecke characters, II
In this paper we prove the weak local Tamagawa number conjecture for the remaining non-critical cases for the motives associated to Hecke characters ψθ:AK→K∗ of the author's previous paper, where K
Nearby in the stack
is an imaginary quadratic field with
cl(K)=1
, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields.