Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torus equivariant K-stability   It is conjectured that to test the K-polystability of a polarised variety it
is enough to consider test-configurations which are equivariant with respect to
a torus in the automorphism group. We prove partial results towards this
conjecture. We also show that it would give a new proof of the K-polystability
of constant scalar curvature polarised manifolds.

28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
3
The categories of this paper are: physics
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess