About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 29. Chapters: Quadric, Enriques-Kodaira classification, Fake projective plane, K3 surface, Surface of general type, Bogomolov-Miyaoka-Yau inequality, Del Pezzo surface, Ruled surface, Kummer surface, Surface of class VII, Irregularity of a surface, Cubic surface, Inoue surface, Elliptic surface, Hopf surface, List of complex and algebraic surfaces, Veronese surface, Hilbert modular surface, Enriques surface, Rational surface, Hyperelliptic surface, Kodaira surface, Hirzebruch surface, Complex projective plane, Dolgachev surface, Quartic surface, Fano surface, Beauville surface, Barlow surface, Abelian surface, Complex torus, Catanese surface, Godeaux surface, Kato surface, Barth surface, Weddle surface, Burniat surface, Campedelli surface, Inoue-Hirzebruch surface, Segre surface, Togliatti surface, Castelnuovo surface, Horikawa surface, Chatelet surface, Cayley's nodal cubic surface, Bordiga surface, Coble surface, Enoki surface, White surface, Sarti surface, Humbert surface. Excerpt: In mathematics, the Enriques-Kodaira classification is a classification of compact complex surfaces into ten classes. For each of these classes, the surfaces in the class can be parametrized by a moduli space. For most of the classes the moduli spaces are well understood, but for the class of surfaces of general type the moduli spaces seem too complicated to describe explicitly, though some components are known. Federigo Enriques (1914, 1949) described the classification of complex projective surfaces. Kunihiko Kodaira (1964, 1966, 1968, 1968b) later extended the classification to include non-algebraic compact surfaces. The analogous classification of surfaces in characteristic p > 0 was begun by David Mumford (1969) and completed by Enrico Bombieri and David Mumford (1976, 1977); it is similar to the characteristic projective 0 case, except ther...
