Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Fano manifolds and rational surfaces   For a Fano manifold of pseudo-index at least 3 and $c_1^2-2c_2$ nef, we show
irreducibility of certain spaces of curves on the Fano manifold implies the
manifold is a union of rational surfaces.

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph