Normal two-dimensional singularities
Author(s)
Bibliographic Information
Normal two-dimensional singularities
（Annals of mathematics studies, no. 71）（Tokyo University international edition, no. 68）
Princeton University Press , University of Tokyo Press, 1971
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Note
Includes index and bibliography (p. 157-158)
Description and Table of Contents
Description
A survey, thorough and timely, of the singularities of two-dimensional normal complex analytic varieties, the volume summarizes the results obtained since Hirzebruch's thesis (1953) and presents new contributions. First, the singularity is resolved and shown to be classified by its resolution; then, resolutions are classed by the use of spaces with nilpotents; finally, the spaces with nilpotents are determined by means of the local ring structure of the singularity.
Table of Contents
*Frontmatter, pg. i*PREFACE, pg. vii*INTRODUCTION, pg. ix*CONTENTS, pg. xi*CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES, pg. 1*CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES, pg. 7*CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES, pg. 34*CHAPTER IV. EXCEPTIONAL SETS, pg. 47*CHAPTER V. MINIMAL RESOLUTIONS, pg. 72*CHAPTER VI. EQUIVALENCE OF EMBEDDINGS, pg. 93*CHAPTER VII. THE LOCAL RING STRUCTURE, pg. 134*BIBLIOGRAPHY, pg. 157*INDEX, pg. 159
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