Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Log canonical pairs with good augmented base loci   Let $(X,B)$ be a projective log canonical pair such that $B$ is a
$\Q$-divisor, and that there is a surjective morphism $f\colon X\to Z$ onto a
normal variety $Z$ satisfying: $K_X+B\sim_\Q f^*M$ for some $\Q$-divisor $M$,
and the augmented base locus ${\bf{B_+}}(M)$ does not contain the image of any
log canonical centre of $(X,B)$. We will show that $(X,B)$ has a good log
minimal model. An interesting special case is when $f$ is the identity
morphism.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc