Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of pullback of orbifold bundles   In this article, we prove a categorical equivalence between proper formal
orbifold curves and proper orbifold curves in the sense of Deligne-Mumford
stacks. Using this identification, we define the notion of $P$-(semi)stability
of vector bundles on proper formal orbifold curves $(X,P)$. Finally, we show
that the pullback of a $P$-stable vector bundle under a morphism $f \colon
(Y,Q)\longrightarrow (X,P)$ between two formal orbifold curves is $Q$-stable if
and only if the underlying finite cover $f \colon Y \longrightarrow X$ is
genuinely ramified.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys