Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Weak Chevalley-Warning Theorem for Quasi-finite Fields   There exists a function f: N -> N such that for every positive integer d,
every quasi-finite field K and every projective hypersurface X of degree d and
dimension at least f(d), the set X(K) is non-empty. This is a special case of a
more general result about intersections of hypersurfaces of fixed degree in
projective spaces of sufficiently high dimension over fields with finitely
generated Galois groups.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org