Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On codimension two subvarieties of P6   We prove the following: (a) Let X be a smooth, codimension two subvariety of
P6. If X lies on a hyperquintic or if deg(X)<74, then X is a complete
intersection. (b) Let X be a smooth, subcanonical threefold in P5. If X lies on
a hyperquartic, then X is a complete intersection.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci