Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A moduli interpretation of untwisted binary cubic forms   We give a moduli interpretation to the quotient of (nondegenerate) binary
cubic forms with respect to the natural $\text{GL}_2$-action on the variables.
In particular, we show that these $\text{GL}_2$ orbits are in bijection with
pairs of $j$-invariant $0$ elliptic curves together with $3$-torsion Brauer
classes that are invariant under complex multiplication. The binary cubic
generic Clifford algebra plays a key role in the construction of this
correspondence.

37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th