Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A uniform version of the Yau-Tian-Donaldson correspondence for extremal
  K\"ahler metrics on polarized toric manifolds   The aim of this paper is to solve a uniform version of the Yau-Tian-Donaldson
conjecture for polarized toric manifolds. Also, we show a combinatorial
sufficient condition for uniform relative K-polystability.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg