Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scheme-theoretic Approach to Computational Complexity II. The Separation
  of P and NP over $\mathbb{C}$, $\mathbb{R}$, and $\mathbb{Z}$   We show that the problem of determining the feasibility of quadratic systems
over $\mathbb{C}$, $\mathbb{R}$, and $\mathbb{Z}$ requires exponential time.
This separates P and NP over these fields/rings in the BCSS model of
computation.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph