Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi--Projective Reduction of Toric Varieties   We define a quasi--projective reduction of a complex algebraic variety $X$ to
be a regular map from $X$ to a quasi--projective variety that is universal with
respect to regular maps from $X$ to quasi--projective varieties. A toric
quasi--projective reduction is the analogous notion in the category of toric
varieties. For a given toric variety $X$ we first construct a toric
quasi--projective reduction. Then we show that $X$ has a quasi--projective
reduction if and only if its toric quasi--projective reduction is surjective.
We apply this result to characterize when the action of a subtorus on a
quasi--projective toric variety admits a categorical quotient in the category
of quasi--projective varieties.

10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex