Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cone of effective surfaces on $\overline{\mathcal A}_3$   We determine five extremal effective rays of the four-dimensional cone of
effective surfaces on the toroidal compactification $\overline{\mathcal A}_3$
of the moduli space ${\mathcal A}_3$ of complex principally polarized abelian
threefolds, and we conjecture that the cone of effective surfaces is generated
by these surfaces. As the surfaces we define can be defined in any genus $g\ge
3$, we further conjecture that they generate the cone of effective surfaces on
the perfect cone toroidal compactification of ${\mathcal A}_g$ for any $g\ge
3$.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin