Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic fibre spaces with strictly nef relative anti-log canonical
  divisor   Let $(X,\Delta)$ be a projective klt pair, and $f:X\to Y$ a fibration to a
smooth projective variety $Y$ with strictly nef relative anti-log canonical
divisor $-(K_{X/Y}+\Delta)$. We prove that $f$ is a locally constant fibration
with rationally connected fibres, and the base $Y$ is a canonically polarized
hyperbolic projective manifold. In particular, when $Y$ is a single point, we
establish that $X$ is rationally connected. Moreover, when $\dim X=3$ and
$-(K_X+\Delta)$ is strictly nef, we prove that $-(K_X+\Delta)$ is ample, which
confirms the singular version of a conjecture of Campana-Peternell for
threefolds.

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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con