Degenerations for derived categories Bernt Tore Jensen, Xiuping Su, and Alexander Zimmermann Abstract. We propose a theory of degenerations for derived module categories, analogous to degenerations in module varieties for module categories. In particular we define two types of degenerations, one algebraic and the other geometric. We show that these are equivalent, analogously to the Riedtmann-Zwara theorem for module varieties. Applications to tilting complexes are given, in particular that any two term tilting complex is determined by its graded module structure.