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Completely split primes in non-anticyclotomic $\mathbb{Z}_p$-extensions
In his colloquium paper "The Structure of Selmer Groups" Greenberg writes the following:
If $K$ is an imaginary quadratic field ... it is conjectured that for any [non-anticyclotomic] $\mathbb{Z}_ …
5
votes
Accepted
Completely split primes in non-anticyclotomic $\mathbb{Z}_p$-extensions
The article Sur les ideaux dont l'image par l'application d'Artin dans une $\mathbb{Z}_p$-extension est triviale of Michel Emsalem provides a satisfactory answer to the general question of how many pl …