Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-rational centers of log canonical singularities   We show that if $(X,B)$ is a log canonical pair with $\dim X\geq d+2$, whose
non-klt centers have dimension $\geq d$, then $X$ is has depth $\ge d+2$ at
every closed point.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat