Inter-universal Teichmuller Theory I ------------------------------------ ECorrected a misprint ("If follows" ---> "It follows") in Remark 1.2.1 Inter-universal Teichmuller Theory III -------------------------------------- ECorrected misprints ("a ring" ---> "the ring", "of characteristic" ---> @"of positive characteristic", misplaced definition of "X_k") in Remark @3.12.4, (v)