Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Pairs and Coercive Estimates for The Mabuchi Functional   We show that a projective manifold is stable if and only if the Mabuchi
energy is proper on the space of algebraic metrics. We show that stability
implies finite automorphism group.

26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph