摘要

We prove the existence and uniqueness of the solutions of some very general type of degenerate complex Monge-Ampere equations, and investigate their regularity. These types of equations are precisely what is needed in order to construct Kahler-Einstein metrics over irreducible singular Kahler spaces with ample or trivial canonical sheaf and singular Kahler-Einstein metrics over varieties of general type.

  • 出版日期2010-3