Representation type of commutative noetherian rings I: Local wildness

This is the first of a series of four papers describing the finitely genera ted modules over all commutative noetherian rings that do not have wild rep resentation type ( with a possible exception involving characteristic 2). T his first paper identifies the wild rings, in the complete local case. The second paper describes the finitely generated modules over the remaining co mplete local rings. The last two papers extend these results by dropping th e complete local hypothesis.