Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The limit set of discrete subgroups of $PSL(3,\C)$   If $\Gamma$ is a discrete subgroup of $PSL(3,\Bbb{C})$, it is determined the
equicontinuity region $Eq(\Gamma)$ of the natural action of $\Gamma$ on
$\Bbb{P}^2_\Bbb{C}$. It is also proved that the action restricted to
$Eq(\Gamma)$ is discontinuous, and $Eq(\Gamma)$ agrees with the discontinuity
set in the sense of Kulkarni whenever the limit set of $\Gamma$ in the sense of
Kulkarni, $\Lambda(\Gamma)$, contains at least three lines in general position.
Under some additional hypothesis, it turns out to be the largest open set on
which $\Gamma$ acts discontinuously. Moreover, if $\Lambda(\Gamma)$ contains at
least four complex lines and $\Gamma$ acts on $\Bbb{P}^2_\Bbb{C}$ without fixed
points nor invariant lines, then each connected component of $Eq(\Gamma)$ is a
holomorphy domain and a complete Kobayashi hyperbolic space.

34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci