Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The weighted moduli spaces of sextics   We use the weighted moduli height as defined in \cite{sh-h} to investigate
the distribution of fine moduli points in the moduli space of genus two curves.
  We show that for any genus two curve with equation $y^2=f(x)$, its weighted
moduli height $\mathfrak h (\mathfrak{p}) \leq 2^3 \sqrt{3 \cdot 5 \cdot 7} \,
\cdot H(f)$, where $H(f)$ is the minimal naive height of the curve as defined
in \cite{height}. Based on the weighted moduli height $\mathfrak h$ we create a
database of genus two curves defined over $\mathbb Q$ with small $\mathfrak h$
and show that for small such height ($\mathfrak h < 5$) about 30% of points are
fine moduli points.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph