What will be the critical editions in the electronic era? Hubert de Phalese, a research centre in La Sorbonne-Nouvelle University (Paris III), in accordance with its pragmatic approach to literary computing problems, decided to launch this debate by putting on line a critical edition of the complete works of Lautreamont/Isidore Ducasse (http://www.cavi.univ-paris3.fr/phalese). This edition is an integral hypertext (in which nearly every word of the text is linked with a comment), which gathers all that one usually finds in critical editions, but on a scale that does not have equivalents on paper: variants, philological, literary and encyclopedic comments, biography, bibliography, iconography, index, etc. This prototype poses, concretely, a certain number of problems, on several levels: Technical: Which interface is to be used? The purely automatic search engines (including the uses of Java and other script languages) appeared unsuited and a new device of computer-assisted indexing was developed. It makes it possible to provide for the user a lemmatized index and, especially, lexical cards, which can be enriched at will. The current solution of setting on-line presents some inconveniences but it has the advantage of proposing to the greatest number of users the consultation of the edition and of inviting them to take part in it. Contents: The new support is, virtually, infinite. What is a critical edition to contain now that we are no longer concerned with its volume? All the versions of the text, for example, can now be proposed with the reading. But are we to publish the intertexts, contemporary works, criticism, etc.? How can the interconnection, in a network, of several resources enrich a critical edition? Under which scientific and legal conditions? Validation: Can this type of edition be regarded as more reliable than the paper editions? According to which protocols will such editions be judged? One of the risks is the appearance of a great quantity of work