论文标题
电流的相对非荧光产物
Relative non-pluripolar products of currents
论文作者
论文摘要
鉴于紧凑的Kahler歧管X上的闭合正电流t，我们引入了非倍极产物相对于闭合阳性（1,1） - 电流的T的概念。当t是沿X积分的电流时，我们恢复了众所周知的非荧光产物。我们的主要结果是相对非倍极产物的单调性特性，这是电流在Lelong数字方面具有相对全质量相交的必要条件，以及相对全质量相交的电流的相对加权类别的相对全质量相交。即使t是沿X集成的当前，前两个结果也是新的。
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.
