Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nef anti-canonical divisors and rationally connected fibrations   We study the Iitaka-Kodaira dimension of nef relative anti-canonical
divisors. As a consequence, we prove that given a complex projective variety
with klt singularities, if the anti-canonical divisor is nef, then the
dimension of a general fibre of the maximal rationally connected fibration is
at least the Iitaka-Kodaira dimension of the anti-canonical divisor.

32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas