Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hurwitz Stacks of Groups Extensions and Irreducibility   We study the irreducible components of special loci of curves whose group of
symmetries is given as certain group extension. We introduce some relative
Hurwitz data, which we show by using mixed \'etale cohomology theory,
identifies some irreducible components for rational and normal non-abelian
special loci and Hurwitz spaces. A heuristic, that is supported by three
classes of examples, provides an additional context for building further
irreducible loci.

1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph