Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface projective convexe de volume fini   A convex projective surface is the quotient of a properly convex open
$\Omega$ of $\mathbb{P}(\R)$ by a discret subgroup $\Gamma$ of
$\mathrm{SL}_3(\R)$. We give some caracterisations of the fact that a convex
projective surface is of finite volume for the Busemann's measure. We deduce of
this that if $\Omega$ is not a triangle then $\Omega$ is strictly convex, with
$\Cc^1$ boundary and that a convex projective surface $S$ is of finite volume
if and only if the dual surface is of finite volume.

3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph