Sur l'intersection des courants laminaires

Details Sur l'intersection des courants laminaires Sur l'intersection des courants laminaires

2003-03-24

arxiv.org/abs/math/0303289v1

Mathematics

Complex Variables

14 pages (LaTeX). To appear in Publicacions Matematiques

Scientific paper

We try to find a geometric interpretation of the wedge product of positive closed laminar currents in $\mathbb{C}^2$. We say such a wedge product is geometric if it is given by intersecting the disks filling up the currents. Uniformly laminar currents do always intersect geometrically in this sense. We also introduce a class of ``strongly approximable'' laminar currents, natural from the dynamical point of view, and prove that such currents intersect geometrically provided they have continuous potentials.

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