The objective of this paper is to provide an overview of the CDT annotation design with special emphasis on the modelling of the interface between the syntactic level and two other linguistic levels, viz. morphology and discourse. In connection with the description of NP annotation we present the fundamentals of how CDT is marked up with semantic relations in accordance with the dependency principles governing the annotation on the other levels of CDT. Specifically, focus will be on how Generative Lexicon (GL) theory has been incorporated into the unitary theoretical dependency framework of CDT. An annotation scheme for lexical semantics has been designed so as to account for the lexico-semantic structure of complex NPs, and the four GL qualia also appear in some of the CDT discourse relation labels as a description of parallel semantic relations at this level.