Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and
  flattening of Legendrian curves   We discuss Ghys' theorem on 4 zeroes of the Schwarzian derivative and its
relation with flattening points of Legendrian curves and Sturm theory.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess