Normal Two-Dimensional Singularities

Henry B. Laufer (Autor)

Buch | Softcover

176 Seiten

1971
Princeton University Press (Verlag)
978-0-691-08100-7 (ISBN)

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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.

*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

Erscheint lt. Verlag	21.11.1971
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	255 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-691-08100-X / 069108100X
ISBN-13	978-0-691-08100-7 / 9780691081007
Zustand	Neuware