Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of connected components of the ramification locus of a
  morphism of Berkovich curves   Let $k$ be a complete, nontrivially valued non-archimedean field. Given a
finite morphism of quasi-smooth $k$-analytic curves that admit finite
triangulations, we provide upper bounds for the number of connected components
of the ramification locus in terms of topological invariants of the source
curve such as its topological genus, the number of points in the boundary and
the number of open ends.

8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th