Contents Online
Asian Journal of Mathematics
Volume 13 (2009)
Number 1
Good Kähler Metrics with Prescribed Singularities
Pages: 131 – 150
DOI: https://dx.doi.org/10.4310/AJM.2009.v13.n1.a7
Author
Abstract
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.
Keywords
Quasi-projective manifolds, Singular Monge-Ampère equations, Kähler-Einstein manifolds
2010 Mathematics Subject Classification
32Q20, 32W20, 53C55
Published 1 January 2009