Structure properties of laminar currents on ${\mathbb{P}}^2$

Abstract

We study the structure of a class of laminar closed positive currents on ${\mathbb{CP}}^2$, naturally appearing in birational dynamics. We prove such a current admits natural non intersecting {\em leaves}, that are closed under analytic continuation. As a consequence it can be seen as a {\em foliation cycle} a weak lamination.

Final version. To appear in the Journal of Geometric Analysis