Annihilators of the ideal class group of a cyclic extension of a global function field

Abstract

Let $K$ be a global function field and fix a place $\infty $ of $K$. Let $L/K$ be a finite real abelian extension, i.e. a finite, abelian extension such that $\infty $ splits completely in $L$. Then we define a group $C_L$ of elliptic units in $\mathcal O