  The paper is devoted to the study of exact curves on Arborealized Liouville
surfaces. We introduce the notion of a generating family for such curves. Our
main statement is a hamiltonian lifting property: the set of curves admitting a
generating family is closed with respect to Hamiltonian isotopes. This is part
of the author's future thesis. It will be translated into English within a few
weeks. In the future, we plan to generalize our results in several directions
and find applications.
