complex projective spaceの例文

• Of the complex projective spaces ( Thom, 1952 ).
• Complex projective space has many applications in both mathematics and quantum physics.
• In algebraic geometry, complex projective space is the home of algebraic varieties.
• For example a complex projective space has cup-length equal to its complex dimension.
• A projective complex manifold is a complex manifold which can be embedded in complex projective space.
• Since fixes, the-orbit of in the complex projective space of coincides with the orbit and
• Lines, planes etc . are expanded to the lines, etc . of the complex projective space.
• This included the theory of complex projective space, the coordinates used ( homogeneous coordinates ) being complex numbers.
• Twistor space is a three-dimensional complex projective space in which physical quantities appear as certain structural deformations.
• The Wirtinger inequality is also a key ingredient in Gromov's inequality for complex projective space in systolic geometry.
• A complex hyperplane does not separate a complex projective space into two components, because it has real codimension 2.
• In these cases we can find those explicitly, in the infinite-dimensional analogues of real and complex projective space.
• The cohomology in the infinite case was argued above from the isomorphism with the cohomology of the infinite complex projective space.
• To describe the complex projective space in an analogous manner requires a generalization of the idea of vector, line, and direction.
• In a complex projective space of dimension there are no ovoidal quadrics, because in that case any non degenerated quadric contains lines.
• Uses the Bergman operators to construct an explicit biholomorphism between " X " and a algebraic subvariety of complex projective space.
• In an analogous way, the complex projective space "'CP "' " carries a universal complex line bundle.
• For complex projective space, where the optimal bound is attained by the symmetric Fubini Study metric, pointing to the link to quantum mechanics.
• In topology, the complex projective space plays an important role as a classifying space for complex line bundles : families of complex lines parametrized by another space.
• In fact, the first Chern classes of complex projective space are generated under Poincar?duality by the homology class associated to a hyperplane " H ".