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

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dc.creatorDinh, Tien-Cuong
dc.creatorSibony, Nessim
dc.date2007-03-23
dc.date2008-09-19
dc.date.accessioned2026-07-07T10:03:49Z
dc.date.available2026-07-07T10:03:49Z
dc.descriptionWe 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.
dc.description80 pages, to appear in Acta Math
dc.identifierhttps://arxiv.org/abs/math/0703702
dc.identifierhttp://arxiv.org/abs/math/0703702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169433
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject37F, 32H50, 32U40
dc.titleSuper-potentials of positive closed currents, intersection theory and dynamics
dc.typetext

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