Structure properties of laminar currents on $\mathbb{P}^2$
Abstract
Description
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
Final version. To appear in the Journal of Geometric Analysis