3 problems

Let $p$ be a prime, let $\tau\in\mathcal{H}_p$ be a real quadratic point of discriminant $D$ prime to $p$, and let $H_\tau$ be the narrow ring class field of the order defined by…

Let $K$ be an imaginary quadratic field, let $\mathfrak f$ be an ideal of $\mathcal O_K$, and let $K_{\mathfrak f}$ be the corresponding ray class field. Under the conditions of th…

Let $\Lambda$ be the Iwasawa algebra in the source, let $Q(\Lambda)$ be its total ring of fractions, and let $\Delta^\infty$ be the determinant module constructed from the inverse…