Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Acylindrical actions for two-dimensional Artin groups of hyperbolic type   For a two-dimensional Artin group $A$ whose associated Coxeter group is
hyperbolic, we prove that the action of $A$ on the hyperbolic space obtained by
coning off certain subcomplexes of its modified Deligne complex is
acylindrical. Moreover, if for each $s\in S$ there is $t\in S$ with $m_{st}<
\infty$, then this action is universal. As a consequence, for $|S|\geq 3$, if
$A$ is irreducible, then it is acylindrically hyperbolic. We also obtain the
Tits alternative for $A$, and we classify the subgroups of $A$ that virtually
split as a direct product. A key ingredient in our approach is a simple
criterion to show the acylindricity of an action on a two-dimensional
$\mathrm{CAT}(-1)$ complex.

20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat