About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 38. Chapters: Complex projective space, Fubini-Study metric, Almost complex manifold, Calabi conjecture, Genus of a multiplicative sequence, Hermitian manifold, Stable map, Coherent sheaf, Complex differential form, Pseudoholomorphic curve, Hermitian symmetric space, Kahler manifold, Stein manifold, Hirzebruch-Riemann-Roch theorem, Hyperkahler manifold, Kodaira vanishing theorem, Serre duality, Canonical ring, Hypercomplex manifold, Quintic threefold, Differential of the first kind, Positive form, Hitchin functional, Exponential sheaf sequence, Biholomorphism, Positive current, Fujiki class C, Dolbeault cohomology, Fermat quintic threefold, Relative canonical model, Polar homology, Calabi-Eckmann manifold, Quadratic differential, Twistor space, Branched covering, Hopf manifold, Bergman metric, Torelli theorem, Kodaira embedding theorem, Complex torus, Appell-Humbert theorem, Trivial cylinder, Generalized Jacobian, Compact Riemann surface, Skoda-El Mir theorem, Andreotti-Frankel theorem, Holomorphic vector bundle, Kobayashi metric, Cox-Zucker machine, Frohlicher spectral sequence, Complex dimension, Fujita conjecture, Hermitian connection, Holomorphic tangent space, Complex geometry, Bismut connection, Canonical connection. Excerpt: In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space label the lines through the origin of a real Euclidean space, the points of a complex projective space label the complex lines through the origin of a complex Euclidean space (see below for an intuitive account). Formally, a complex projective space is the space of complex lines through the origin of an (n+1)-dimensional complex vector space. The space is denoted variously as P(C), Pn(C) or CP. When, the complex projective space CP is ...
