Abstract
We show that on Kähler manifolds with negative first Chern class, the sequence of algebraic metrics introduced by Tsuji converges uniformly to the Kähler-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.
Original language | English (US) |
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Pages (from-to) | 59-79 |
Number of pages | 21 |
Journal | Mathematische Annalen |
Volume | 347 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2010 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)