Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal function of intrinsic norms   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.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom