About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 50. Chapters: Complex manifolds, Complex projective space, Fubini-Study metric, Almost complex manifold, Hartogs' extension theorem, Calabi conjecture, Genus of a multiplicative sequence, Hermitian manifold, Edge-of-the-wedge theorem, Stable map, Coherent sheaf, Complex differential form, Pseudoholomorphic curve, Hermitian symmetric space, Kahler manifold, Plurisubharmonic function, Cousin problems, Tube domain, Stein manifold, Bombieri norm, Hirzebruch-Riemann-Roch theorem, Weierstrass preparation theorem, Hyperkahler manifold, Kodaira vanishing theorem, Serre duality, Domain of holomorphy, Canonical ring, Hypercomplex manifold, Quintic threefold, Bochner-Martinelli formula, Differential of the first kind, Positive form, Cartan's theorems A and B, Hitchin functional, Exponential sheaf sequence, Biholomorphism, Positive current, Fujiki class C, Dolbeault cohomology, Pseudoconvexity, Fermat quintic threefold, Bergman kernel, Relative canonical model, Polar homology, Reinhardt domain, Calabi-Eckmann manifold, Quadratic differential, Twistor space, Branched covering, Holomorphic sheaf, Holomorphically convex hull, Szeg kernel, Hopf manifold, Hartogs' theorem, Bergman metric, Analytization trick, Torelli theorem, Kodaira embedding theorem, Complex analytic space, Complex torus, Appell-Humbert theorem, Polydisc, Fatou-Bieberbach domain, Bergman-Weil formula, Trivial cylinder, Generalized Jacobian, Compact Riemann surface, Hartogs' lemma, Skoda-El Mir theorem, Pluriharmonic function, Poincare residue, Andreotti-Frankel theorem, Holomorphic vector bundle, Kobayashi metric, Cox-Zucker machine, Analytic polyhedron, Frohlicher spectral sequence, Complex dimension, Fujita conjecture, Hermitian connection, Holomorphic tangent space, Complex geometry, Behnke-Stein theorem, Bismut connection, Canonical connection. Excerpt: In mathematics, com...
