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Constructions of Kahler-Einstein metrics with negative scalar curvature

Differential Geometry 2018-12-14 v1

Abstract

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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Cite

@article{arxiv.0704.1005,
  title  = {Constructions of Kahler-Einstein metrics with negative scalar curvature},
  author = {Jian Song and Ben Weinkove},
  journal= {arXiv preprint arXiv:0704.1005},
  year   = {2018}
}

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22 pages