projective space in a sentence

Examples

1. This consideration proves that the Picard group of a projective space is free of rank 1.
2. Since the right-hand side takes values in a projective space, is well-defined.
3. For another example, the complement of any conic in projective space of dimension 2 is affine.
4. In this way, every nondegenerate semilinear map induces a correlation of a projective space to itself.
5. Projective polytopes can be defined in higher dimension as tessellations of projective space in one less dimension.
6. Since fixes, the-orbit of in the complex projective space of coincides with the orbit and
7. That is, affine spaces are open subspaces of projective spaces, which are quotients of vector spaces.
8. Another generalization of projective spaces are weighted projective spaces; these are themselves special cases of toric varieties.
9. Another generalization of projective spaces are weighted projective spaces; these are themselves special cases of toric varieties.
10. Homogeneous coordinates for projective spaces can also be created with elements from a division ring ( skewfield ).