Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compatibility of weak approximation for zero-cycles on products of
  varieties   Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin
obstruction for proper smooth varieties defined over number fields. Roughly
speaking, we prove that the conjecture is compatible for products of rationally
connected varieties, K3 surfaces, Kummer varieties, and one curve.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics