Arithmetic of Complex Manifolds : Proceedings of a Conference held in Erlangen FRG May 27–31 1988 It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest such as moduli problems complex tori integral points rationality questions automorphic forms. In recent years such problems which are simultaneously of arithmetic and geometric interest have become increasingly important. This proceedings volume contains 12 original research papers. Its main topics are theta functions modular forms abelian varieties and algebraic three folds