Mathematics – Differential Geometry
Scientific paper
2007-04-07
Mathematics
Differential Geometry
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.
Song Jian
Weinkove Ben
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