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)|
|Number of pages||15|
|State||Published - Dec 2008|
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