Explicit Galois Deformations over Imaginary Quadratic Fields

Takuya Tanaka

Let $K$ be an imaginary quadratic field, and let $p$ be an odd prime that splits as $(p)=\pi \bar{\pi }$ in $K$. Let $G_K^{\pi }$ and $G_K^p$ denote the Galois groups of the maximal algebraic e…