正闭合流的超势、相交理论与动力学
Super-potentials of positive closed currents, intersection theory and dynamics
摘要：
在射影空间上引入了二次（p，p）正闭流的超势概念.这给出了一个演算的正封闭电流的任意二度。我们特别定义的交集，这样的电流和拉回运营商的亚纯映射。其中一个主要的工具是引入结构盘的空间中的积极封闭的电流，使一个“几何”的空间。我们应用超势理论来构造有理映射的格林流，并研究全纯自同态和多项式自同构的等分布问题。
英文摘要：
We introduce a notion of super-potential for positive closed currents of bidegree (p,p) on projective spaces. This gives a calculus on positive closed currents of arbitrary bidegree. We define in particular the intersection of such currents and the pull-back operator by meromorphic maps. One of the main tools is the introduction of structural discs in the space of positive closed currents which gives a "geometry" on that space. We apply the theory of super-potentials to construct Green currents for rational maps and to study equidistribution problems for holomorphic endomorphisms and for polynomial automorphisms.
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