Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Good reduction and cyclic covers   We prove finiteness results for sets of varieties over number fields with
good reduction outside a given finite set of places using cyclic covers. We
obtain a version of the Shafarevich conjecture for weighted projective
surfaces, double covers of abelian varieties, and reduce the Shafarevich
conjecture for hypersurfaces to the case of hypersurfaces of low degree. These
are special cases of a general set-up for integral points on moduli stacks of
cyclic covers, and our arithmetic results are achieved via a version of the
Chevalley-Weil theorem for stacks.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph