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Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces

6 votes
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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}_ …
Alexandre Daoud's user avatar
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 …
Alexandre Daoud's user avatar