Regularization of currents and entropy

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Let T be a positive closed (p,p)-current of mass 1 on a compact Kahler manifold X. Then, there exist a constant c, independent of T, and smooth positive closed (p,p)-currents Tn and Sn of mass c such that Tn-Sn converge weakly to T. We also extend this result to positive pluriharmonic currents. Then we study the wedge product of positive closed (1,1)-currents having continuous potential with positive pluriharmonic currents. As an application, we give an estimate of the topological entropy of meromorphic maps on compact Kahler manifolds.
17 pages, to appear in Ann. Sci. Ecol. Norm. Sup

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Complex Variables, Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/72065

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407532
 http://arxiv.org/abs/math/0407532

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arXiv