Subvarieties of projective space

Special cases

 * Curves in projective space
 * Surfaces in projective space
 * Threefolds in projective space
 * Fourfolds in projective space
 * Hypersurfaces in projective space
 * Codimension 2 subvarieties of projective space
 * Complete intersections in projective space

Generalizations

 * Proper varieties
 * Subvarieties of toric varieties