Abstract
We show a priori L ∞ estimates for the solutions of the complex Monge-Ampère equation with respect to a sequence of Kähler forms degenerating in the limit. This is applied to prove the existence of generalized Kähler-Einstein metrics for some holomorphic fibrations by Calabi-Yau manifolds.
Original language | English (US) |
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Pages (from-to) | 773-787 |
Number of pages | 15 |
Journal | Mathematische Annalen |
Volume | 342 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2008 |
All Science Journal Classification (ASJC) codes
- General Mathematics