A priori $L^{\infty }$-estimates for degenerate complex Monge-Ampère equations

Abstract

We study families of complex Monge-Ampère equations, focusing on the case where the cohomology classes degenerate to a non big class. We establish uniform a priori $L^{\infty }$-estimates for the normalized solutions, generalizing the recent work of S. Kolodziej and G. Tian. This has interesting consequences in the study of the Kähler-Ricci flow.

6 pages

Cited by in corpus (1)

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