中文

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

复变函数 2007-05-23 v2 动力系统

摘要

We study the structure of a class of laminar closed positive currents on CP2\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.

引用

@article{arxiv.math/0403292,
  title  = {Structure properties of laminar currents on $\mathbb{P}^2$},
  author = {Romain Dujardin},
  journal= {arXiv preprint arXiv:math/0403292},
  year   = {2007}
}

备注

Final version. To appear in the Journal of Geometric Analysis