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

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