Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary points, minimal $L^2$ integrals and concavity property IV --
  fibrations over open Riemann surfaces   In this article, we consider the minimal $L^2$ integrals related to modules
at boundary points on fibrations over open Riemann surfaces, and present a
characterization for the concavity property of the minimal $L^2$ integrals
degenerating to linearity.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol