Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the effective cone of higher codimension cycles in
  $\overline{\mathcal{M}}_{g,n}$   We exhibit infinitely many extremal effective codimension-$k$ cycles in
$\overline{\mathcal{M}}_{g,n}$ in the cases
  $g\geq 3, n\geq g-1$ and $k=2$,
  $g\geq 2$, $k\leq n-g,g,$ and
  $g=1$, $k\leq n-2$.
  Hence in these cases the effective cone is not rational polyhedral.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph