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

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

2004-03-17

arxiv.org/abs/math/0403292v2

Mathematics

Complex Variables

Final version. To appear in the Journal of Geometric Analysis

Scientific paper

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.

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