Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur une in\'egalit\'e fonctionnelle sur les vari\'et\'es toriques avec
  application \`a la torsion analytique holomorphe   Let $X$ be a complex non-singular toric variety, $E$ an equivariant and ample
line bundle on $X$. We introduce a new functional $V_\infty$ on the set of
smooth, positive and invariant metrics on $E$. We compare $V_\infty$ to some
classical functionals. As an application, we study the variation of the
holomorphic analytic torsion.

13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat