Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: p-convexity, p-plurisubharmonicity and the Levi problem   Three results in p-convex geometry are established. First is the analogue of
the Levi problem in several complex variables, namely: local p-convexity
implies global p-convexity. The second asserts that the support of a minimal
p-dimensional current is contained in the p-hull of the boundary union with the
"core" of the space. Lastly, the exteme rays in the convex cone of p-positive
matrices are characterized. This is a basic result with many applications.

25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn