Extremal function of intrinsic norms

Details Extremal function of intrinsic norms Extremal function of intrinsic norms

2004-10-12

arxiv.org/abs/math/0410296v1

Ann. of Math. (2), Vol. 156 (2002), no. 1, 197--211

Mathematics

Complex Variables

15 pages, published version

Scientific paper

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.

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