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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144765We 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 pagesDifferential GeometryA priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equationstext