The zeros form a cubic surface in 3-dimensional projective space.
By the same construction, projective spaces can be considered in higher dimensions.
Its direct construction is as a special case of the projective space over a division algebra.
Complex projective spaces Since is simply connected, such a structure has to be unique.
We begin with a preliminary on a morphism into a projective space.
Indeed, we can assume X is the projective space by the early discussion.
It is often desirable to consider curves in the projective space.
Part of a conventional projective space is collapsed down to a point.
So we can say that most smooth hypersurfaces in projective space are of general type.
The above definition of projective space gives a set.