Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational curves on fibered varieties   Let $X$ be a projective variety with log terminal singularities and vanishing
augmented irregularity. In this paper we prove that if $X$ admits a relatively
minimal genus one fibration then it does contain a subvariety of codimension
one covered by rational curves contracted by the fibration. We then focus on
the case of varieties with numerically trivial canonical bundle and we discuss
several consequences of this result.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph