The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic
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English Pages 324 [320] Year 2010
Table of contents :
Title page
ISBN 978-3-642-08351-8
Dedication
Preface to the Second Edition
Preface to the First Edition
Contents
Introduction
CHAPTER 1. Local Theory
1 Terminology and preliminaries
2 Resolvers and principalizers
3 Dominant character of a normal sequence
4 Unramified local extensions
5 Main results
CHAPTER 2. Global Theory
6 Terminology and preliminaries
7 Global resolvers
8 Global principalizers
9 Main results
CHAPTER 3. Some Cases of Three-Dimensional Birational Resolution
10 Uniformization of points of small multiplicity
11 Three-dimensional birational resolution over a ground field of characteristic zero
12 Existence of projective models having only points of small multiplicity
13 Three-dimensional birational resolution over an algebraically closed ground field of charateristic ^2,3,5
Appendix on Analytic Desingularization in Characteristic Zero
Bibliography
Additional Bibliography
Index of Notation
Index of Definitions
List of Corrections