Regularization of currents and entropy |
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Authors: | Tien-Cuong Dinh |
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Institution: | Université Paris-Sud, Mathématique - Bât. 425, UMR 8628, 91405 Orsay, France; Université Paris-Sud, Mathématique - Bât. 425, UMR 8628, 91405 Orsay, France |
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Abstract: | Let T be a positive closed (p,p)-current on a compact Kähler manifold X. We prove the existence of smooth positive closed (p,p)-forms and such that weakly. Moreover, where cX>0 is a constant independent of 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 for the topological entropy of meromorphic maps on compact Kähler manifolds. |
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