Algebraic Surfaces; Author: Badescu, Lucian; Joint Author: Masek, Vladimir; Hardback; Book

Author: Badescu, Lucian; Joint Author: Masek, Vladimir
Universitext; Hardback; Book; 20 Illustrations
170 pages
Published: August 2000
Springer-Verlag New York Inc.
ISBN: 0387986685

This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the authorpresents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.This work presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, and numerical criteria for contractibility of curves on an algebraic surface.