Extremal function of intrinsic norms
Complex Variables
2007-05-23 v1
Abstract
Through the study of the degenerate complex Monge-Amp\`ere equation, we establish the optimal regularity of the extremal function associated to intrinsic norms of Chern-Levine-Nirenberg and Bedford-Taylor. We prove a conjecture of Chern-Levine-Nirenberg on the extended intrinsic norms on complex manifolds and verify Bedford-Taylor's representation formula for these norms in general.
Cite
@article{arxiv.math/0410296,
title = {Extremal function of intrinsic norms},
author = {Pengfei Guan},
journal= {arXiv preprint arXiv:math/0410296},
year = {2007}
}
Comments
15 pages, published version