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

Autor:	Eyssidieux, P., Guedj, V., Zeriahi, A.
Rok vydání:	2007
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We study families of complex Monge-Amp\`ere 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 K\"ahler-Ricci flow. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0712.3743 Zobrazit plný text záznamu View this record from Arxiv