geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
The complex projective plane $\mathbb{C}P^2$ is the complex projective space of complex dimension 2, hence the projective plane over the complex numbers.
A Sullivan model is given by
(Arnold-Kuiper-Massey theorem)
The 4-sphere is the quotient space of the complex projective plane by the action on homogeneous coordinates of complex conjugation:
The blowup at generic points is a del Pezzo surface.
See also
Last revised on August 4, 2020 at 08:33:47. See the history of this page for a list of all contributions to it.