Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The classification of holomorphic $(m,n)$--subharmonic morphisms   We study the problem of classifying the holomorphic $(m,n)$-subharmonic
morphisms in complex space. This determines which holomorphic mappings
preserves $m$-subharmonicity in the sense that the composition of the
holomorphic mapping with a $m$-subharmonic functions is $n$-subharmonic. We
show that there are three different scenarios depending on the underlying
dimensions, and the model itself. Either the holomorphic mappings are just the
constant functions, or up to composition with a homotethetic map, canonical
orthogonal projections. Finally, there is a more intriguing case when
subharmonicity is gained in the sense of the Caffarelli-Nirenberg-Spruck
framework.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int