流的正则化与熵
Regularization of currents and entropy
摘要：
设T是紧致Kahler流形X上质量为1的正闭（p，p）流.则存在一个与T无关的常数c和质量为c的光滑正闭（p，p）流Tn和Sn使得Tn-Sn弱收敛于T.我们还将这一结果推广到正多谐电流。然后研究了具有连续势的正闭（1，1）-电流与正多谐电流的楔积。作为应用，我们给出了紧Kahler流形上亚纯映射的拓扑熵的一个估计。
英文摘要：
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.
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