Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth projective varieties with a torus action of complexity 1 and
  Picard number 2   We give an explicit description of all smooth varieties with a torus action
of complexity one having Picard number at most two. As a consequence, we
classify in every dimension the smooth (almost) Fano varieties with a torus
action of complexity one having Picard number two. It turns out that all the
Fano examples are obtained via an iterated generalized cone construction from a
series of smooth varieties of dimension at most seven.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga