Lines in projective space

Moduli
The moduli space of lines in projective space Pn is isomorphic to the Grassmannian of 2-dimensional linear subspaces of Cn+1, G(2,n+1).

Enumerative geometry

 * Through any two points in Pn, there is a unique line.

Special cases

 * Lines in P2
 * Lines in P3

Generalizations

 * Curves in projective space