On Iwasawa Theory over Function Fields

Ka-Lam Kueh, King Fai Lai, Ki-Seng Tan

Let $k_{\infty }$ be a ${\mathbb{Z}}_p^d$-extension of a global function field $k$ of characteristic $p$. Let $\Cl_{k_{\infty},p}$ be the $p$ completion of the class group of $k_{\infty }$. We…