Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Monge-Amp\`ere equation for (n-1)-plurisubharmonic functions on a
  compact K\"ahler manifold   A C^2 function on C^n is called (n-1)-plurisubharmonic in the sense of
Harvey-Lawson if the sum of any n-1 eigenvalues of its complex Hessian is
nonnegative. We show that the associated Monge-Ampere equation can be solved on
any compact Kahler manifold. As a consequence we prove the existence of
solutions to an equation of Fu-Wang-Wu, giving Calabi-Yau theorems for
balanced, Gauduchon and strongly Gauduchon metrics on compact Kahler manifolds.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio