Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the conditional measures on the orbits of the complex torus   We explore the structure of invariant measures on compact K\"ahler manifolds
with Hamiltonian torus actions. We derive the formula for conditional measures
on the orbits of the complex torus and use it to prove a conditional statement
about uniqueness of solutions to the $g$-Monge-Amp\`ere equation.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga