How can one parametrize a real elliptic normal curve such that four points are coplanar iff their parameters sum to zero?

Let E in P3be a real elliptic normal curve with two non-null-homotopic components. Is there a parametrization (R/Z) x (Z/2Z) -> E such that any four points on E are coplanar precisely when...

02 February 2015 2,296 1 View