ENGLISH

Normal Two-Dimensional Singularities

By Henry B. Laufer

Book information

Publisher
Princeton University Press
Year
1971
ISBN
0-691-08100-X, 9780691081007
Language
english
Format
DJVU
Filesize
1 MB (1075310 bytes)
Series
Annals of mathematics studies no. 71
Pages
176\175
Library
kolxoz
Time added
2017-10-15 16:00:00
Analytic spaces;Singularities (Mathematics);Espace

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. Content: *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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