Editing Moduli space (section)

===Chow variety===
The [[Chow ring|Chow variety]] '''Chow'''(d,'''P'''<sup>3</sup>) is a projective algebraic variety which parametrizes degree ''d'' curves in '''P'''<sup>3</sup>. It is constructed as follows. Let ''C'' be a curve of degree ''d'' in '''P'''<sup>3</sup>, then consider all the lines in '''P'''<sup>3</sup> that intersect the curve ''C''. This is a degree ''d'' [[Divisor (algebraic geometry)|divisor]] ''D<sub>C</sub>'' in '''G'''(2, 4), the Grassmannian of lines in '''P'''<sup>3</sup>. When ''C'' varies, by associating ''C'' to ''D<sub>C</sub>'', we obtain a parameter space of degree ''d'' curves as a subset of the space of degree ''d'' divisors of the Grassmannian: '''Chow'''(d,'''P'''<sup>3</sup>).