Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rationally connected foliations on surfaces   In this short note we study foliations with rationally connected leaves on
surfaces. Our main result is that on surfaces there exists a polarisation such
that the Harder-Narasimhan filtration of the tangent bundle with respect to
this polarisation yields the maximal rationally quotient of the surface.

5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas