Constructions of Kahler-Einstein metrics with negative scalar curvature

Mathematics – Differential Geometry

Scientific paper

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22 pages

Scientific paper

We show that on Kahler manifolds with negative first Chern class, the
sequence of algebraic metrics introduced by H. Tsuji converges uniformly to the
Kahler-Einstein metric. For algebraic surfaces of general type and orbifolds
with isolated singularities, we prove a convergence result for a modified
version of Tsuji's iterative construction.

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