Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Base point free theorem of Reid-Fukuda type   Let $(X,\Delta)$ be a proper dlt pair and $L$ a nef Cartier divisor such that
$aL-(K_X+\Delta)$ is nef and log big on $(X,\Delta)$ for some $a\in {\mathbb
Z}_{>0}$. Then $|mL|$ is base point free for every $m\gg 0$.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th