E-Book, Englisch, Band 71, 176 Seiten
Laufer Normal Two-Dimensional Singularities
1. Auflage 2016
ISBN: 978-1-4008-8174-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 71, 176 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8174-1
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
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
