Abstract
Various estimates of the lower bound of the holomorphic invariant α(M), defined in [T], are given here by using branched coverings, potential estimates and Lelong numbers of positive, d-closed (1, 1) currents of certain type, etc. These estimates are then applied to produce Kähler-Einstein metrics on complex surfaces with C1>0, in particular, we prove that there are Kähler-Einstein structures with C1>0 on any manifold of differential type {Mathematical expression}.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 175-203 |
| Number of pages | 29 |
| Journal | Communications in Mathematical Physics |
| Volume | 112 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 1987 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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Tian, G., & Yau, S. T. (1987). Kähler-Einstein metrics on complex surfaces with C1>0. Communications in Mathematical Physics, 112(1), 175-203. https://doi.org/10.1007/BF01217685