TY - JOUR AU - Zeriahi, Ahmed AB - We study families of complex MongeAmpre equations, focusing on the case where the cohomology classes degenerate to a nonbig class. We establish uniform a priori L-estimates for the normalized solutions, generalizing the recent work of S. Koodziej and G. Tian. This has interesting consequences in the study of the KhlerRicci flow. TI - A Priori L-Estimates for Degenerate Complex MongeAmpre Equations JO - International Mathematics Research Notices DO - 10.1093/imrn/rnn070 DA - 2008-01-01 UR - https://www.deepdyve.com/lp/oxford-university-press/a-priori-l-estimates-for-degenerate-complex-mongeampre-equations-maDjEhVMnX VL - 2008 IS - DP - DeepDyve ER -