Asian Journal of Mathematics
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Good Kähler Metrics with Prescribed Singularities

Damin Wu

Source: Asian J. Math. Volume 13, Number 1 (2009), 131-150.

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.

Primary Subjects: 32Q20, 53C55, 32W20
Keywords: Quasi–projective manifolds; Singular Monge–Ampère equations; Kähler–Einstein manifolds

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ajm/1240496437

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