Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abundance for uniruled pairs which are not rationally connected   Let $(X,\Delta)$ be a projective log canonical pair of dimension $n$ such
that $X$ is uniruled. If $X$ is not rationally connected, then $(X,\Delta)$ has
a good model, assuming the Minimal Model Program in dimension $n-1$. If $X$ is
rationally connected, then the existence of a good model for $(X,\Delta)$
follows from a nonexistence conjecture for a very specific class of rationally
connected pairs of Calabi-Yau type.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph