A priori $L^{\infty}$-estimates for degenerate complex Monge-Amp\`ere equations
Differential Geometry
2007-12-24 v1
Abstract
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 -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.
Cite
@article{arxiv.0712.3743,
title = {A priori $L^{\infty}$-estimates for degenerate complex Monge-Amp\`ere equations},
author = {P. Eyssidieux and V. Guedj and A. Zeriahi},
journal= {arXiv preprint arXiv:0712.3743},
year = {2007}
}
Comments
6 pages