Open Collections

Description

Let \(F\) be a totally real field. Let \(p\) be an odd prime unramified in \(F\) and \(\mathfrak{p}\) a prime above \(p\). Let \(K/F\) be a \(p\)-ordinary CM quadratic extension and \(K_{\mathfrak{p}}^{-}\) the maximal \(p\)-anticyclotomic extension of \(K\) unramified outside \(\mathfrak{p}\). We discuss results on the \(\mu\)-invariant of certain \(p\)-adic \(L\)-functions over \(K\) along the \(\mathfrak{p}\)-anticyclotomic tower. We also describe relevant questions regarding the \(\mathfrak{p}\)-anticyclotomic Selmer groups (joint with H. Hida).