论文标题
具有有限能量类别的解决方案的复杂蒙格 - 安培方程
Complex Monge-Ampere equations with solutions in finite energy classes
论文作者
论文摘要
我们表征了紧凑的卡勒歧管上的概率度量类别,使相关的蒙格 - 安培方程具有有限的多元复合能的解决方案。我们的结果在大共同学课程中也有效。
We characterize the class of probability measures on a compact Kahler manifold such that the associated Monge-Ampère equation has a solution of finite pluricomplex energy. Our results are also valid in the big cohomology class setting.