Super-potentials of positive closed currents, intersection theory and dynamics

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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.
80 pages, to appear in Acta Math

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Complex Variables, Dynamical Systems, 37F, 32H50, 32U40

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http://salesiana.dossiersoluciones.com/handle/123456789/169433

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703702
 http://arxiv.org/abs/math/0703702

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arXiv