Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On fibration stability after Dervan-Sektnan and singularities   We introduce $\mathfrak{f}$-stability, a modification of fibration stability
of Dervan-Sektnan [12], and show that $\mathfrak{f}$-semistable fibrations have
only semi log canonical singularities. Moreover, $\mathfrak{f}$-stability puts
restrictions on semi log canonical centers on Fano fibrations.

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc