Asian Journal of Mathematics

Volume 13 (2009)

Number 1

Good Kähler Metrics with Prescribed Singularities

Pages: 131 – 150



Damin Wu


In this paper, we study the singular Monge-Ampère equations on a quasi-projective manifold with a Poincaré metric. As a consequence, we construct Poincaré Kähler-Einstein metrics which degenerate or grow upward at most like a pole along a given effective divisor.


Quasi-projective manifolds, Singular Monge-Ampère equations, Kähler-Einstein manifolds

2010 Mathematics Subject Classification

32Q20, 32W20, 53C55

Published 1 January 2009