Normal Two-Dimensional Singularities

by Henry B. Laufer

Overview

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.

Product Details

ISBN-13:	9780691081007
Publisher:	Princeton University Press
Publication date:	11/21/1971
Series:	Annals of Mathematics Studies , #71
Pages:	176
Product dimensions:	6.00(w) x 9.00(h) x (d)

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