Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Laufer, Henry B.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1972
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 71
• Physical Description: 1 online resource (176 p.)
• Other title: Frontmatter --; PREFACE --; INTRODUCTION --; CONTENTS --; CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES --; CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES --; CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES --; CHAPTER IV. EXCEPTIONAL SETS --; CHAPTER V. MINIMAL RESOLUTIONS --; CHAPTER VI. EQUIVALENCE OF EMBEDDINGS --; CHAPTER VII. THE LOCAL RING STRUCTURE --; BIBLIOGRAPHY --; INDEX
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400881741; 9783110494914; 9783110442496
• DOI: 10.1515/9781400881741
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Henry B. Laufer.

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.