English

Sur l'intersection des courants laminaires

Complex Variables 2007-05-23 v1 Dynamical Systems

Abstract

We try to find a geometric interpretation of the wedge product of positive closed laminar currents in C2\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.

Keywords

Cite

@article{arxiv.math/0303289,
  title  = {Sur l'intersection des courants laminaires},
  author = {Romain Dujardin},
  journal= {arXiv preprint arXiv:math/0303289},
  year   = {2007}
}

Comments

14 pages (LaTeX). To appear in Publicacions Matematiques