Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plane sextics with a type $\bold E_8$ singular point   We construct explicit geometric models for and compute the fundamental groups
of all plane sextics with simple singularities only and with at least one type
$\bold E_8$ singular point. In particular, we discover four new sextics with
nonabelian fundamental groups; two of them are irreducible. The groups of the
two irreducible sextics found are finite. The principal tool used is the
reduction to trigonal curves and Grothendieck's {\it dessins d'enfants}

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom