projective space in a sentence

Examples

1. So we can say that most smooth hypersurfaces in projective space are of general type.
2. My best effort so far is : File : Parabola in projective space . svg.
3. If the original space is Euclidean, the higher dimensional space is a real projective space.
4. A projective complex manifold is a complex manifold which can be embedded in complex projective space.
5. Only in 1948 did he prove that complete algebraic groups can be embedded into projective space.
6. This example was the first known example of a Grassmannian, other than a projective space.
7. is a copy of projective space.
8. The projective space case is included.
9. where is a given smooth projective variety in the ambient projective space and is a hyperplane.
10. Really the most natural setting for algebraic curves is " complex " projective space.