Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the unirationality of moduli spaces of pointed curves   We show that $\mathcal{M}_{g,n}$, the moduli space of smooth curves of genus
$g$ together with $n$ marked points, is unirational for $g=12$ and $2 \leq
n\leq 4$ and for $g=13$ and $1 \leq n \leq 3$, by constructing suitable
dominant families of projective curves in $\mathbb{P}^1 \times \mathbb{P}^2$
and $\mathbb{P}^3$ respectively. We also exhibit several new unirationality
results for moduli spaces of smooth curves of genus $g$ together with $n$
unordered points, establishing their unirationality for $g=11, n=7$ and $g=12,
n =5,6$.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con