电流的相对非多极积
Relative non-pluripolar products of currents
摘要：
给定紧致Kahler流形X上的闭正流T，引入闭正（1，1）-流关于T的非多极积的概念.当T是沿X积分的电流时，我们恢复了著名的非多极积。我们的主要结果是相对非多极积的单调性，流具有相对满质量相交的Lelong数的必要条件，以及相对满质量相交流的加权类的凸性.即使当T是沿X积分的电流时，前两个结果也是新的。
英文摘要：
Given a closed positive current T on a compact Kahler manifold X, we introduce the notion of non-pluripolar product relative to T of closed positive (1,1)-currents. We recover the well-known non-pluripolar product when T is the current of integration along X. Our main results are a monotonicity property of relative non-pluripolar products, a necessary condition for currents to be of relative full mass intersection in terms of Lelong numbers, and the convexity of weighted classes of currents of relative full mass intersection. The former two results are new even when T is the current of integration along X.
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