Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the moduli of hypersurfaces in toric orbifolds   We construct and study the moduli of hypersurfaces in toric orbifolds. Let
$X$ be a projective toric orbifold and $\alpha \in Cl(X)$ an ample class. The
moduli space is constructed as a quotient of the linear system $|\alpha|$ by $G
= Aut(X)$. Since the group $G$ is non-reductive in general, we use new
techniques of non-reductive geometric invariant theory. Using the
$A$-discriminant we prove semistability for certain toric orbifolds. Further,
we show that quasismooth hypersurfaces in a weighted projective space are
stable when the weighted projective space satisfies a certain condition. We
also discuss how to proceed when this condition is not satisfied. We prove that
the automorphism group of a quasismooth hypersurface of weighted projective
space is finite excluding some low degrees.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics