Compact Complex Surfaces
Springer Berlin (Verlag)
978-3-642-96756-6 (ISBN)
Historical Note.- References.- The Content of the Book.- Standard Notations.- I. Preliminaries.- Topology and Algebra.- Complex Manifolds.- General Analytic Geometry.- Differential Geometry of Complex Manifolds.- Coverings.- Projective-Algebraic Varieties.- II. Curves on Surfaces.- Embedded Curves.- Intersection Theory.- III. Mappings of Surfaces.- Bimeromorphic Geometry.- Fibrations of Surfaces.- The Period Map of Stable Fibrations.- IV. Some General Properties of Surfaces.- 1. Meromorphic Maps Associated to Line Bundles.- 2. Hodge Theory on Surfaces.- 3. Deformations of Surfaces.- 4. Some Inequahties for Hodge Numbers.- 5. Projectivity of Surfaces.- 6. Surfaces of Algebraic Dimension Zero.- 7. Almost-Complex Surfaces without any Complex Structure.- 8. The Vanishing Theorems of Ramanujam and Mumford.- V. Examples.- Some Classical Examples.- Fibre Bundles.- Elliptic Fibrations.- Kodaira Fibrations.- Finite Quotients.- Infinite Quotients.- Double Coverings.- VI. The Enriques-Kodaira Classification.- 1. Statement of the Main Result.- 2. The Castelnuovo Criterion.- 3. The Case a(X) = 2.- 4. The Case a(X) = 1.- 5. The Case a (X) = 0.- 6. The Final Step.- 7. Deformations.- VII. Surfaces of General Type.- Preliminaries.- Two Inequalities.- Pluricanonical Maps.- Surfaces with Given Chern Numbers.- VIII. K3-Surfaces and Enriques Surfaces.- K3-Surfaces.- Enriques Surfaces.- Notations.
| Erscheint lt. Verlag | 12.2.2012 |
|---|---|
| Reihe/Serie | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| Zusatzinfo | X, 304 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 244 mm |
| Gewicht | 554 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | classification • DEX • Dimension • Divisor • mapping • Riemann-Roch theorem • Sheaves • Surfaces |
| ISBN-10 | 3-642-96756-6 / 3642967566 |
| ISBN-13 | 978-3-642-96756-6 / 9783642967566 |
| Zustand | Neuware |
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