| 1. | It is often desirable to consider curves in the projective space.
|
| 2. | In this way, projective space acquires a universal property.
|
| 3. | Of the complex projective spaces ( Thom, 1952 ).
|
| 4. | Complex projective space has many applications in both mathematics and quantum physics.
|
| 5. | Therefore, this notion is normally defined for projective spaces.
|
| 6. | For these reasons, projective space plays a fundamental role in algebraic geometry.
|
| 7. | It is generally assumed that projective spaces are of at least dimension 2.
|
| 8. | There is thus an inclusion-reversing bijection between the projective spaces and.
|
| 9. | In algebraic geometry, complex projective space is the home of algebraic varieties.
|
| 10. | The elements of the projective space are commonly called " points ".
|
