This article is concerned with the textual realisation of series of discourse segments. The analysis of the morphological characteristics of discursively marked series, and of the different groups of markers called upon in signalling these series, show that the creation of series in discourse is a complex operation which involves delimiting text units, grouping them together and ordering them. Over and above these purely organisational operations, semantic or argumentative relations may arise between the different components of the series. The study is carried out along the lines defined by the Discourse Framing hypothesis, and uses the formal framework of the ‘contextual exploration method’. The general objective is to provide a systematic exploration of the major modes of discourse articulation and of their signalling in written texts, in order to exploit such knowledge in computational segmentation and text-annotation tasks.