Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fano manifolds and blow-ups of low-dimensional subvarieties   We study Fano manifolds of pseudoindex greater than one and dimension greater
than five, which are blow-ups of smooth varieties along smooth centers of
dimension equal to the pseudoindex of the manifold. We obtain a classification
of the possible cones of curves of these manifolds, and we prove that there is
only one such manifold without a fiber type elementary contraction.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom