Algebraic surfaces
Información General
- Autores: Lucian Badescu
- Editores: New York [etc. : Springer, [2001
- Año de publicación: 2001
- País: Estados Unidos
- Idioma: inglés
- ISBN: 0-387-98668-5
- Texto completo no disponible (Saber más ...)
Resumen
The main aim of this book is to present a completely algebraic approach to the Enriques¿ classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields.
Otros catálogos
Índice
* Intersection Theory and the Nakai-Moishezon Criterion * The Hodge Index Theorem and the Intersection Matrix of a Fiber * Criteria of Contractability and Rational Singularities * Properties of Rational Singularities * Noether's Formula, Picard Scheme, Albanese Variety, and Plurigenera * Existence of Minimal Models * Morphisms to a Curve, Elliptic and Quasielliptic Fibrations * Canonical Dimension of an Elliptic or Quasielliptic Fibration * The Classification Theorem According to Canonical Dimension * Surfaces with Canonical Dimension Zero (char(k)=/2,3) * Ruled Surfaces. The Noether-Tsen Criterion * Minimal Models of Ruled Surfaces * The Zariski decomposition and applications * Appendix: Further reading
