De : Marcel Morales Objet : cutkosky À : Marcel Morales \noindent Name: Steven Dale Cutkosky \vskip .2truein \noindent Title: Ramification of Valuations \vskip .2truein \noindent: Abstract: We reexamine the classical theory of Ramification of Valuations. We show that the ramificiation theory of algebraic function fields of characteristic zero is surprisingly close to the classical theory of Dedekind domains.