Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on algebro-geometric solutions to triangular Schlesinger systems   We construct algebro-geometric upper triangular solutions of rank two
Schlesinger systems. Using these solutions we derive two families of solutions
to the sixth Painlev\'e equation with parameters $({1}/{8}, -{1}/{8}, {1}/{8},
{3}/{8})$ expressed in simple forms using periods of differentials on elliptic
curves. Similarly for every integer $n$ different from $0$ and $-1$ we obtain
one family of solutions to the sixth Painlev\'e equation with parameters
$(\frac{9n^2+12n+4}{8}, -\frac{n^2}{8}, \frac{n^2}{8}, \frac{4-n^2}{8})$.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph