Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some geometric properties of the solutions of complex multi-affine
  polynomials of degree three   In this paper, we consider complex polynomials of degree three with distinct
zeros and their polarization ((z1,z2,z3) with three complex variables. We show,
through elementary means, that the variety P(z1,z2,z3)=0 is birationally
equivalent to the variety z1z2z3 +1 = 0. Moreover, the rational map certifying
the equivalence is a simple M\"obius transformation. The second goal of this
note is to present a geometrical curiosity relating the zeros of P(z,z,zk) for
k = 1,2,3, where (z1,z2,z3) is arbitrary point on the variety P(z1,z2 z3) = 0.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ