Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy
  asymptotics   Let X be a smooth, linearly normal algebraic variety. It is shown that the
Mabuchi energy of X restricted to the Bergman metrics is completely determined
by the X-hyperdiscriminant of format (n-1) and the Chow form of X. As a
corollary it is shown that the Mabuchi energy is bounded from below for all
degenerations in G if and only if the hyperdiscriminant polytope dominates the
Chow polytope for all maximal algebraic tori H of G .

12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex