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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70494We 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 AnalysisComplex VariablesDynamical Systems32U40; 37FxxStructure properties of laminar currents on $\mathbb{P}^2$text