Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Analysis of Reductions from Schlesinger Transformations to
  Difference Painlev\'e Equations   We present two examples of reductions from the evolution equations describing
discrete Schlesinger transformations of Fuchsian systems to difference
Painlev\'e equations: difference Painlev\'e equation
d-$P\left({A}_{2}^{(1)*}\right)$ with the symmetry group ${E}^{(1)}_{6}$ and
difference Painlev\'e equation d-$P\left({A}_{1}^{(1)*}\right)$ with the
symmetry group ${E}^{(1)}_{7}$. In both cases we describe in detail how to
compute their Okamoto space of the initial conditions and emphasize the role
played by geometry in helping us to understand the structure of the reduction,
a choice of a good coordinate system describing the equation, and how to
compare it with other instances of equations of the same type.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc